Search results for: transport equation
3704 Strategic Thinking to Enhance Critical Transport Infrastructure and Build Resilience
Authors: Jayantha Withanaarachchi, Sujeeva Setunge, Sara Moridpour
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Gaps in strategic thinking and planning lead to critical transport infrastructure resilience. These gaps in strategic transport and land use development planning have an impact on communities and cities. Natural and man-induced disasters can be catastrophic to communities. After a disaster, many types of critical infrastructure, including transport infrastructure gets un-usable or gets damaged. This paper examines strategic thinking behind the resilience and protection of Critical Transport Infrastructure (CI) within transport networks by investigating the impact of disasters such as bushfires, hurricanes and earthquakes. A detailed analysis of three case studies have been conducted to identify the gaps in strategic transport planning and strategic decision making processes required to mitigate the impacts of disasters. Case studies will be analysed to identify existing gaps in road design, transport planning and decision making. This paper examines the effect of road designing, transport corridors and decision making during transport planning stages and how it impacts transport infrastructure as well as community resilience. A set of recommendations to overcome the shortcomings of existing strategic planning and designing process are presented. This research paper reviews transport infrastructure planning issues and presents the common approach suitable for future strategic thinking and planning which could be adopted in practices.Keywords: community resilience, decision making , infrastructure resilience, strategic transport planning, transport infrastructure
Procedia PDF Downloads 2843703 Study and Solving Partial Differential Equation of Danel Equation in the Vibration Shells
Authors: Hesamoddin Abdollahpour, Roghayeh Abdollahpour, Elham Rahgozar
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This paper we deal with an analysis of the free vibrations of the governing partial differential equation that it is Danel equation in the shells. The problem considered represents the governing equation of the nonlinear, large amplitude free vibrations of the hinged shell. A new implementation of the new method is presented to obtain natural frequency and corresponding displacement on the shell. Our purpose is to enhance the ability to solve the mentioned complicated partial differential equation (PDE) with a simple and innovative approach. The results reveal that this new method to solve Danel equation is very effective and simple, and can be applied to other nonlinear partial differential equations. It is necessary to mention that there are some valuable advantages in this way of solving nonlinear differential equations and also most of the sets of partial differential equations can be answered in this manner which in the other methods they have not had acceptable solutions up to now. We can solve equation(s), and consequently, there is no need to utilize similarity solutions which make the solution procedure a time-consuming task.Keywords: large amplitude, free vibrations, analytical solution, Danell Equation, diagram of phase plane
Procedia PDF Downloads 3143702 Quantum Statistical Mechanical Formulations of Three-Body Problems via Non-Local Potentials
Authors: A. Maghari, V. M. Maleki
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In this paper, we present a quantum statistical mechanical formulation from our recently analytical expressions for partial-wave transition matrix of a three-particle system. We report the quantum reactive cross sections for three-body scattering processes 1 + (2,3)-> 1 + (2,3) as well as recombination 1 + (2,3) -> 2 + (3,1) between one atom and a weakly-bound dimer. The analytical expressions of three-particle transition matrices and their corresponding cross-sections were obtained from the three-dimensional Faddeev equations subjected to the rank-two non-local separable potentials of the generalized Yamaguchi form. The equilibrium quantum statistical mechanical properties such partition function and equation of state as well as non-equilibrium quantum statistical properties such as transport cross-sections and their corresponding transport collision integrals were formulated analytically. This leads to obtain the transport properties, such as viscosity and diffusion coefficient of a moderate dense gas.Keywords: statistical mechanics, nonlocal separable potential, three-body interaction, faddeev equations
Procedia PDF Downloads 3953701 Thermal End Effect on the Isotachophoretic Separation of Analytes
Authors: Partha P. Gopmandal, S. Bhattacharyya
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We investigate the thermal end effect on the pseudo-steady state behavior of the isotachophoretic transport of ionic species in a 2-D microchannel. Both ends of the channel are kept at a constant temperature which may lead to significant changes in electrophoretic migration speed. A mathematical model based on Nernst-Planck equations for transport of ions coupled with the equation for temperature field is considered. In addition, the charge conservation equations govern the potential field due to the external electric field. We have computed the equations for ion transport, potential and temperature in a coupled manner through the finite volume method. The diffusive terms are discretized via central difference scheme, while QUICK (Quadratic Upwind Interpolation Convection Kinematics) scheme is used to discretize the convective terms. We find that the thermal end effect has significant effect on the isotachophoretic (ITP) migration speed of the analyte. Our result shows that the ITP velocity for temperature dependent case no longer varies linearly with the applied electric field. A detailed analysis has been made to provide a range of the key parameters to minimize the Joule heating effect on ITP transport of analytes.Keywords: finite volume method, isotachophoresis, QUICK scheme, thermal effect
Procedia PDF Downloads 2683700 Innovative Methods of Improving Train Formation in Freight Transport
Authors: Jaroslav Masek, Juraj Camaj, Eva Nedeliakova
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The paper is focused on the operational model for transport the single wagon consignments on railway network by using two different models of train formation. The paper gives an overview of possibilities of improving the quality of transport services. Paper deals with two models used in problematic of train formatting - time continuously and time discrete. By applying these models in practice, the transport company can guarantee a higher quality of service and expect increasing of transport performance. The models are also applicable into others transport networks. The models supplement a theoretical problem of train formation by new ways of looking to affecting the organization of wagon flows.Keywords: train formation, wagon flows, marshalling yard, railway technology
Procedia PDF Downloads 4323699 On Demand Transport: Feasibility Study - Local Needs and Capabilities within the Oran Wilaya
Authors: Nadjet Brahmia
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The evolution of urban forms, the new aspects of mobility, the ways of life and economic models make public transport conventional collective low-performing on the majority of largest Algerian cities, particularly in the west of Algeria. On the other side, the information and communication technologies (ICT) open new eventualities to develop a new mode of transport which brings together both the tenders offered by the public service collective and those of the particular vehicle, suitable for urban requirements, social and environmental. Like the concrete examples made in the international countries in terms of on-demand transport systems (ODT) more particularly in the developed countries, this article has for objective the opportunity analysis to establish a service of ODT at the level of a few towns of Oran Wilaya, such a service will be subsequently spread on the totality of the Wilaya if not on the whole of Algeria. In this context, we show the different existing means of transport in the current network whose aim to illustrate the points of insufficiency accented in the present transport system, then we discuss the solutions that may exhibit a service of ODT to the problem studied all around the transport sector, to carry at the end to highlight the capabilities of ODT replying to the transformation of mobilities, this in the light of well-defined cases.Keywords: mobility, on-demand transport, public transport collective, transport system
Procedia PDF Downloads 3513698 Improving the Quality of Transport Management Services with Fuzzy Signatures
Authors: Csaba I. Hencz, István Á. Harmati
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Nowadays the significance of road transport is gradually increasing. All transport companies are working in the same external environment where the speed of transport is defined by traffic rules. The main objective is to accelerate the speed of service and it is only dependent on the individual abilities of the managing members. These operational control units make decisions quickly (in a typically experiential and/or intuitive way). For this reason, support for these decisions is an important task. Our goal is to create a decision support model based on fuzzy signatures that can assist the work of operational management automatically. If the model sets parameters properly, the management of transport could be more economical and efficient.Keywords: freight transport, decision support, information handling, fuzzy methods
Procedia PDF Downloads 2523697 Modification of Rk Equation of State for Liquid and Vapor of Ammonia by Genetic Algorithm
Authors: S. Mousavian, F. Mousavian, V. Nikkhah Rashidabad
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Cubic equations of state like Redlich–Kwong (RK) EOS have been proved to be very reliable tools in the prediction of phase behavior. Despite their good performance in compositional calculations, they usually suffer from weaknesses in the predictions of saturated liquid density. In this research, RK equation was modified. The result of this study shows that modified equation has good agreement with experimental data.Keywords: equation of state, modification, ammonia, genetic algorithm
Procedia PDF Downloads 3733696 Exact Solutions of a Nonlinear Schrodinger Equation with Kerr Law Nonlinearity
Authors: Muna Alghabshi, Edmana Krishnan
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A nonlinear Schrodinger equation has been considered for solving by mapping methods in terms of Jacobi elliptic functions (JEFs). The equation under consideration has a linear evolution term, linear and nonlinear dispersion terms, the Kerr law nonlinearity term and three terms representing the contribution of meta materials. This equation which has applications in optical fibers is found to have soliton solutions, shock wave solutions, and singular wave solutions when the modulus of the JEFs approach 1 which is the infinite period limit. The equation with special values of the parameters has also been solved using the tanh method.Keywords: Jacobi elliptic function, mapping methods, nonlinear Schrodinger Equation, tanh method
Procedia PDF Downloads 3093695 Divergence Regularization Method for Solving Ill-Posed Cauchy Problem for the Helmholtz Equation
Authors: Benedict Barnes, Anthony Y. Aidoo
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A Divergence Regularization Method (DRM) is used to regularize the ill-posed Helmholtz equation where the boundary deflection is inhomogeneous in a Hilbert space H. The DRM incorporates a positive integer scaler which homogenizes the inhomogeneous boundary deflection in Cauchy problem of the Helmholtz equation. This ensures the existence, as well as, uniqueness of solution for the equation. The DRM restores all the three conditions of well-posedness in the sense of Hadamard.Keywords: divergence regularization method, Helmholtz equation, ill-posed inhomogeneous Cauchy boundary conditions
Procedia PDF Downloads 1823694 Numerical Investigation of Heat Transfer in Laser Irradiated Biological Samplebased on Dual-Phase-Lag Heat Conduction Model Using Lattice Boltzmann Method
Authors: Shashank Patidar, Sumit Kumar, Atul Srivastava, Suneet Singh
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Present work is concerned with the numerical investigation of thermal response of biological tissues during laser-based photo-thermal therapy for destroying cancerous/abnormal cells with minimal damage to the surrounding normal cells. Light propagation through the biological sample is mathematically modelled by transient radiative transfer equation. In the present work, application of the Lattice Boltzmann Method is extended to analyze transport of short-pulse radiation in a participating medium.In order to determine the two-dimensional temperature distribution inside the tissue medium, the RTE has been coupled with Penne’s bio-heat transfer equation based on Fourier’s law by several researchers in last few years.Keywords: lattice Boltzmann method, transient radiation transfer equation, dual phase lag model
Procedia PDF Downloads 3423693 Improved Ohmic Contact by Li Doping in Electron Transport Layers
Authors: G. Sivakumar, T. Pratyusha, D. Gupta, W. Shen
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To get ohmic contact between the cathode and organic semiconductor, transport layers are introduced between the active layer and the electrodes. Generally zinc oxide or titanium dioxide are used as electron transport layer. When electron transport layer is doped with lithium, the resultant film exhibited superior electronic properties, which enables faster electron transport. Doping is accomplished by heat treatment of films with Lithium salts. Li-doped films. We fabricated organic solar cell using PTB7(poly(3-hexylthiopene-2,5- diyl):PCBM(phenyl-C61-butyric acid methyl ester) and found that the solar cells prepared using Li doped films had better performance in terms of efficiency when compared to the undoped transport layers.Keywords: electron transport layer, higher efficiency, lithium doping, ohmic contact
Procedia PDF Downloads 4983692 A Computational Study of the Electron Transport in HgCdTe Bulk Semiconductor
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This paper deals with the use of computational method based on Monte Carlo simulation in order to investigate the transport phenomena of the electron in HgCdTe narrow band gap semiconductor. Via this method we can evaluate the time dependence of the transport parameters: velocity, energy and mobility of electrons through matter (HgCdTe).Keywords: Monte Carlo, transport parameters, HgCdTe, computational mechanics
Procedia PDF Downloads 4663691 Mathematical Model for Flow and Sediment Yield Estimation on Tel River Basin, India
Authors: Santosh Kumar Biswal, Ramakar Jha
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Soil erosion is a slow and continuous process and one of the prominent problems across the world leading to many serious problems like loss of soil fertility, loss of soil structure, poor internal drainage, sedimentation deposits etc. In this paper remote sensing and GIS based methods have been applied for the determination of soil erosion and sediment yield. Tel River basin which is the second largest tributary of the river Mahanadi laying between latitude 19° 15' 32.4"N and, 20° 45' 0"N and longitude 82° 3' 36"E and 84° 18' 18"E chosen for the present study. The catchment was discretized into approximately homogeneous sub-areas (grid cells) to overcome the catchment heterogeneity. The gross soil erosion in each cell was computed using Universal Soil Loss Equation (USLE). Various parameters for USLE was determined as a function of land topography, soil texture, land use/land cover, rainfall, erosivity and crop management and practice in the watershed. The concept of transport limited accumulation was formulated and the transport capacity maps were generated. The gross soil erosion was routed to the catchment outlet. This study can help in recognizing critical erosion prone areas of the study basin so that suitable control measures can be implemented.Keywords: Universal Soil Loss Equation (USLE), GIS, land use, sediment yield,
Procedia PDF Downloads 3033690 An Assessment on Awareness of Public Transport Policies for Persons with Disabilities in Three South-West Nigerian States
Authors: Julius A. Ademokoya, Grace C. Ilori
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Extreme public transport difficulty for persons with disabilities (PWDs) has always been one of the challenges which these individuals experience on a daily basis in Nigeria. Private and public transport vehicles are not disability- friendly. Operators of public transport are often very intolerant of PWDs' conditions. Indeed, many Nigerians believe it is luxury for PWDs to engage in public transport. They are rarely expected to be seen in public much less going to places via public transport means. Initiatives by a few Nigerian states to develop and implement public transport policies for PWDs, therefore, were a huge relief for them and some concerned Nigerians. A few years ago, three southwest Nigerian states (Lagos, Ondo, and Ekiti) came up with some legislative welfare provisions (including transport programmes) for PWDs. This study, therefore, sought to ascertain levels of awareness and implementation of public policies among the PWDs and those expected to implement the policies. The study adopted a mixed method research. Findings across the three states showed that: (1) awareness of public policies among PWDs is low and (2) a considerable scope of the policies is not yet implemented. Recommendations are, therefore, made on how to improve on awareness and implementation of transport policies for PWDs in three south-west Nigerian states.Keywords: awareness, disability rights, implementation persons with disability, transport policies
Procedia PDF Downloads 1703689 Public Transport Analysis and Introducing of Bus Rapid Transit (BRT) System in Kabul City
Authors: Ramin Mirzada
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This research investigates the valuation of public transport importance in decreasing congestion and in introduction of bus rapid transit in Kabul city. The main concern and main problem of the Kabul city public transport is traffic congestion. When buses and trams are stuck in traffic jams, it is clear that they fall behind from the schedule and this cause lots of problem for Kabul residence. In this research, the main attention has been given to improve current public transport in Kabul city which Public transport has large share almost 50% share among all mode. The main purpose of this research is to improve public transport system, to examine the demand and the supply of public transport in Kabul city, and to improve public transport system by introducing Bus rapid transit (BRT) system in Kabul city. The data which is used in this research is gathered by Transport Ministry, Kabul Municipality and Japan Cooperation Agency in Afghanistan (JICA). Urban transportation modeling system (UTMS) which is also known as traditional four-step modeling is used as the methodology of this research. The outcome of this research shows that by improving public transport which is local bus system mostly congestion problem of Kabul city become solve, and for those lanes which has the high demand and has more congestion, it is needed to introduce bus rapid transit system.Keywords: transportation, planning, public transport, bus rapid transit, Kabul, Afghanistan
Procedia PDF Downloads 4783688 Analysis of the CO2 Emissions of Public Passenger Transport in Tianjin City of China
Authors: Tao Zhao, Xianshuo Xu
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Low-carbon public passenger transport is an important part of low carbon city. The CO2 emissions of public passenger transport in Tianjin from 1995 to 2010 are estimated with IPCC CO2 counting method, which shows that the total CO2 emissions of Tianjin public passenger transport have gradually become stable at 1,425.1 thousand tons. And then the CO2 emissions of the buses, taxies, and rail transits are calculated respectively. A CO2 emission of 829.9 thousand tons makes taxies become the largest CO2 emissions source among the public passenger transport in Tianjin. Combining with passenger volume, this paper analyzes the CO2 emissions proportion of the buses, taxies, and rail transits compare the passenger transport rate with the proportion of CO2 emissions, as well as the CO2 emissions change of per 10,000 people. The passenger volume proportion of bus among the three public means of transport is 72.62% which is much higher than its CO2 emissions proportion of 36.01%, with the minimum number of CO2 emissions per 10,000 people of 4.90 tons. The countermeasures to reduce CO2 emissions of public passenger transport in Tianjin are to develop rail transit, update vehicles and use alternative fuel vehicles.Keywords: public passenger transport, carbon emissions, countermeasures, China
Procedia PDF Downloads 4233687 Solution of the Nonrelativistic Radial Wave Equation of Hydrogen Atom Using the Green's Function Approach
Authors: F. U. Rahman, R. Q. Zhang
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This work aims to develop a systematic numerical technique which can be easily extended to many-body problem. The Lippmann Schwinger equation (integral form of the Schrodinger wave equation) is solved for the nonrelativistic radial wave of hydrogen atom using iterative integration scheme. As the unknown wave function appears on both sides of the Lippmann Schwinger equation, therefore an approximate wave function is used in order to solve the equation. The Green’s function is obtained by the method of Laplace transform for the radial wave equation with excluded potential term. Using the Lippmann Schwinger equation, the product of approximate wave function, the Green’s function and the potential term is integrated iteratively. Finally, the wave function is normalized and plotted against the standard radial wave for comparison. The outcome wave function converges to the standard wave function with the increasing number of iteration. Results are verified for the first fifteen states of hydrogen atom. The method is efficient and consistent and can be applied to complex systems in future.Keywords: Green’s function, hydrogen atom, Lippmann Schwinger equation, radial wave
Procedia PDF Downloads 3893686 Feasibility of On-Demand Transport Systems (ODT) in Oran Wilaya: Geomatics Study
Authors: Brahmia Nadjet
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The growing needs of displacements led advanced countries in this field install new specific transport systems, able to palliate any deficiencies, especially when regular public transport does not adequately meet the requests of users. In this context, on-demand transport systems (ODT) are very efficient; they rely on techniques based on the location of trip generators which should be assured effectively with the use of operators responsible of the advance reservation, planning and organization, and studying the different ODT criteria (organizational, technical, geographical, etc.). As the advanced countries in the field of transport, some developing countries are involved in the adaptation of the new technologies to reduce the deficit in their communication system. This communication presents the study of an ODT implementation in the west of Algeria, by developing the Geomatics side of the study. This part requires the use of specific systems (such as GIS, RDBMS), so we developed the process through an application in an environment of mobility by using the computer tools dedicated to the management of the entities related to the transport field.Keywords: ODT, geomatics, GIS, transport systems
Procedia PDF Downloads 4983685 The Physics of Turbulence Generation in a Fluid: Numerical Investigation Using a 1D Damped-MNLS Equation
Authors: Praveen Kumar, R. Uma, R. P. Sharma
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This study investigates the generation of turbulence in a deep-fluid environment using a damped 1D-modified nonlinear Schrödinger equation model. The well-known damped modified nonlinear Schrödinger equation (d-MNLS) is solved using numerical methods. Artificial damping is added to the MNLS equation, and turbulence generation is investigated through a numerical simulation. The numerical simulation employs a finite difference method for temporal evolution and a pseudo-spectral approach to characterize spatial patterns. The results reveal a recurring periodic pattern in both space and time when the nonlinear Schrödinger equation is considered. Additionally, the study shows that the modified nonlinear Schrödinger equation disrupts the localization of structure and the recurrence of the Fermi-Pasta-Ulam (FPU) phenomenon. The energy spectrum exhibits a power-law behavior, closely following Kolmogorov's spectra steeper than k⁻⁵/³ in the inertial sub-range.Keywords: water waves, modulation instability, hydrodynamics, nonlinear Schrödinger's equation
Procedia PDF Downloads 643684 Exact Soliton Solutions of the Integrable (2+1)-Dimensional Fokas-Lenells Equation
Authors: Meruyert Zhassybayeva, Kuralay Yesmukhanova, Ratbay Myrzakulov
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Integrable nonlinear differential equations are an important class of nonlinear wave equations that admit exact soliton solutions. All these equations have an amazing property which is that their soliton waves collide elastically. One of such equations is the (1+1)-dimensional Fokas-Lenells equation. In this paper, we have constructed an integrable (2+1)-dimensional Fokas-Lenells equation. The integrability of this equation is ensured by the existence of a Lax representation for it. We obtained its bilinear form from the Hirota method. Using the Hirota method, exact one-soliton and two-soliton solutions of the (2 +1)-dimensional Fokas-Lenells equation were found.Keywords: Fokas-Lenells equation, integrability, soliton, the Hirota bilinear method
Procedia PDF Downloads 2143683 Model Based Improvement of Ultrasound Assisted Transport of Cohesive Dry Powders
Authors: Paul Dunst, Ing. Tobias Hemsel, Ing. Habil. Walter Sextro
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The use of fine powders with high cohesive and adhesive properties leads to challenges during transport, mixing and dosing in industrial processes, which have not been satisfactorily solved so far. Due to the increased contact forces at the transporting parts (e. g. pipe-wall and transport screws), conventional transport systems and also vibratory conveyors reach their limits. Often, flowability increasing additives that need to be removed again in later process steps are the only option to achieve wanted transport results. A rather new ultrasound-assisted powder transport system showed to overcome some of the issues by manipulating the effective friction between powder and transport pipe. Within this contribution, the transport mechanism will be introduced shortly, together with preliminary transport results. As the tangential force of the transport pipe and the powder is the main influencing factor within the transport process, a test stand for measuring tangential forces of a powder-wall contact in the presence of an ultrasonic vibration orthogonal to the contact plane was built. Measurements for a sample powder show that the effective tangential force can already be significantly reduced at very low ultrasonic amplitude. As a result of the measurements, an empirical model for the relationship of tangential force, contact parameters and ultrasonic excitation is presented. This model was used to adjust the driving parameters of the powder transport system, resulting in better performance.Keywords: powder transport, ultrasound, friction, friction manipulation, vibratory conveyor
Procedia PDF Downloads 1453682 Chern-Simons Equation in Financial Theory and Time-Series Analysis
Authors: Ognjen Vukovic
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Chern-Simons equation represents the cornerstone of quantum physics. The question that is often asked is if the aforementioned equation can be successfully applied to the interaction in international financial markets. By analysing the time series in financial theory, it is proved that Chern-Simons equation can be successfully applied to financial time-series. The aforementioned statement is based on one important premise and that is that the financial time series follow the fractional Brownian motion. All variants of Chern-Simons equation and theory are applied and analysed. Financial theory time series movement is, firstly, topologically analysed. The main idea is that exchange rate represents two-dimensional projections of three-dimensional Brownian motion movement. Main principles of knot theory and topology are applied to financial time series and setting is created so the Chern-Simons equation can be applied. As Chern-Simons equation is based on small particles, it is multiplied by the magnifying factor to mimic the real world movement. Afterwards, the following equation is optimised using Solver. The equation is applied to n financial time series in order to see if it can capture the interaction between financial time series and consequently explain it. The aforementioned equation represents a novel approach to financial time series analysis and hopefully it will direct further research.Keywords: Brownian motion, Chern-Simons theory, financial time series, econophysics
Procedia PDF Downloads 4673681 Estimation of Sediment Transport into a Reservoir Dam
Authors: Kiyoumars Roushangar, Saeid Sadaghian
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Although accurate sediment load prediction is very important in planning, designing, operating and maintenance of water resources structures, the transport mechanism is complex, and the deterministic transport models are based on simplifying assumptions often lead to large prediction errors. In this research, firstly, two intelligent ANN methods, Radial Basis and General Regression Neural Networks, are adopted to model of total sediment load transport into Madani Dam reservoir (north of Iran) using the measured data and then applicability of the sediment transport methods developed by Engelund and Hansen, Ackers and White, Yang, and Toffaleti for predicting of sediment load discharge are evaluated. Based on comparison of the results, it is found that the GRNN model gives better estimates than the sediment rating curve and mentioned classic methods.Keywords: sediment transport, dam reservoir, RBF, GRNN, prediction
Procedia PDF Downloads 4923680 Benefits of Polish Accession to the European Union for Air Transport
Authors: D. Tloczynski
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The main aim of this article is to present a balance of the decade of Polish air transport market in the European Union having taking into account selected entities of the aviation market. This article analyzes the functioning of the Polish air transport market after the Polish accession to the European Union. During the study two main areas were pointed: shipping activity and activity of the airports. The most important benefits of integration and the benefits of introducing of the open sky policy were indicated. The last part of the article presents the perspectives of development of air traffic.Keywords: air transport, airports, development air transport, European Union, Poland
Procedia PDF Downloads 4353679 Fixed Point Iteration of a Damped and Unforced Duffing's Equation
Authors: Paschal A. Ochang, Emmanuel C. Oji
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The Duffing’s Equation is a second order system that is very important because they are fundamental to the behaviour of higher order systems and they have applications in almost all fields of science and engineering. In the biological area, it is useful in plant stem dependence and natural frequency and model of the Brain Crash Analysis (BCA). In Engineering, it is useful in the study of Damping indoor construction and Traffic lights and to the meteorologist it is used in the prediction of weather conditions. However, most Problems in real life that occur are non-linear in nature and may not have analytical solutions except approximations or simulations, so trying to find an exact explicit solution may in general be complicated and sometimes impossible. Therefore we aim to find out if it is possible to obtain one analytical fixed point to the non-linear ordinary equation using fixed point analytical method. We started by exposing the scope of the Duffing’s equation and other related works on it. With a major focus on the fixed point and fixed point iterative scheme, we tried different iterative schemes on the Duffing’s Equation. We were able to identify that one can only see the fixed points to a Damped Duffing’s Equation and not to the Undamped Duffing’s Equation. This is because the cubic nonlinearity term is the determining factor to the Duffing’s Equation. We finally came to the results where we identified the stability of an equation that is damped, forced and second order in nature. Generally, in this research, we approximate the solution of Duffing’s Equation by converting it to a system of First and Second Order Ordinary Differential Equation and using Fixed Point Iterative approach. This approach shows that for different versions of Duffing’s Equations (damped), we find fixed points, therefore the order of computations and running time of applied software in all fields using the Duffing’s equation will be reduced.Keywords: damping, Duffing's equation, fixed point analysis, second order differential, stability analysis
Procedia PDF Downloads 2813678 A Novel Method for Solving Nonlinear Whitham–Broer–Kaup Equation System
Authors: Ayda Nikkar, Roghayye Ahmadiasl
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In this letter, a new analytical method called homotopy perturbation method, which does not need small parameter in the equation is implemented for solving the nonlinear Whitham–Broer–Kaup (WBK) partial differential equation. In this method, a homotopy is introduced to be constructed for the equation. The initial approximations can be freely chosen with possible unknown constants which can be determined by imposing the boundary and initial conditions. Comparison of the results with those of exact solution has led us to significant consequences. The results reveal that the HPM is very effective, convenient and quite accurate to systems of nonlinear equations. It is predicted that the HPM can be found widely applicable in engineering.Keywords: homotopy perturbation method, Whitham–Broer–Kaup (WBK) equation, Modified Boussinesq, Approximate Long Wave
Procedia PDF Downloads 3033677 Optimisation of Intermodal Transport Chain of Supermarkets on Isle of Wight, UK
Authors: Jingya Liu, Yue Wu, Jiabin Luo
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This work investigates an intermodal transportation system for delivering goods from a Regional Distribution Centre to supermarkets on the Isle of Wight (IOW) via the port of Southampton or Portsmouth in the UK. We consider this integrated logistics chain as a 3-echelon transportation system. In such a system, there are two types of transport methods used to deliver goods across the Solent Channel: one is accompanied transport, which is used by most supermarkets on the IOW, such as Spar, Lidl and Co-operative food; the other is unaccompanied transport, which is used by Aldi. Five transport scenarios are studied based on different transport modes and ferry routes. The aim is to determine an optimal delivery plan for supermarkets of different business scales on IOW, in order to minimise the total running cost, fuel consumptions and carbon emissions. The problem is modelled as a vehicle routing problem with time windows and solved by genetic algorithm. The computing results suggested that accompanied transport is more cost efficient for small and medium business-scale supermarket chains on IOW, while unaccompanied transport has the potential to improve the efficiency and effectiveness of large business scale supermarket chains.Keywords: genetic algorithm, intermodal transport system, Isle of Wight, optimization, supermarket
Procedia PDF Downloads 3663676 Operational Matrix Method for Fuzzy Fractional Reaction Diffusion Equation
Authors: Sachin Kumar
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Fuzzy fractional diffusion equation is widely useful to depict different physical processes arising in physics, biology, and hydrology. The motive of this article is to deal with the fuzzy fractional diffusion equation. We study a mathematical model of fuzzy space-time fractional diffusion equation in which unknown function, coefficients, and initial-boundary conditions are fuzzy numbers. First, we find out a fuzzy operational matrix of Legendre polynomial of Caputo type fuzzy fractional derivative having a non-singular Mittag-Leffler kernel. The main advantages of this method are that it reduces the fuzzy fractional partial differential equation (FFPDE) to a system of fuzzy algebraic equations from which we can find the solution of the problem. The feasibility of our approach is shown by some numerical examples. Hence, our method is suitable to deal with FFPDE and has good accuracy.Keywords: fractional PDE, fuzzy valued function, diffusion equation, Legendre polynomial, spectral method
Procedia PDF Downloads 1923675 Low-Emission Commuting with Micro Public Transport: Investigation of Travel Times and CO₂ Emissions
Authors: Marcel Ciesla, Victoria Oberascher, Sven Eder, Stefan Kirchweger, Wolfgang E. Baaske, Gerald Ostermayer
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The omnipresent trend towards sustainable mobility is a major challenge, especially for commuters in rural areas. The use of micro public transport systems is expected to significantly reduce pollutant emissions, as several commuters travel the first mile together with a single pick-up bus instead of their own car. In this paper, different aspects of such a micro public transport system are analyzed. The main findings of the investigations should be how the travel times of commuters change and how many CO₂ emissions can be saved if some of the commuters use public transport instead of their own vehicle.Keywords: micro public transport, green transportation, sustainable mobility, low-emission commuting
Procedia PDF Downloads 462