Search results for: time-domain method
17078 Socratic Style of Teaching: An Analysis of Dialectical Method
Authors: Muhammad Jawwad, Riffat Iqbal
Abstract:The Socratic method, also known as the dialectical method and elenctic method, has significant relevance in the contemporary educational system. It can be incorporated into modern-day educational systems theoretically as well as practically. Being interactive and dialogue-based in nature, this teaching approach is followed by critical thinking and innovation. The pragmatic value of the Dialectical Method has been discussed in this article, and the limitations of the Socratic method have also been highlighted. The interactive Method of Socrates can be used in many subjects for students of different grades. The Limitations and delimitations of the Method have also been discussed for its proper implementation. This article has attempted to elaborate and analyze the teaching method of Socrates with all its pre-suppositions and Epistemological character.
Keywords: Socratic method, dialectical method, knowledge, teaching, virtueProcedia PDF Downloads 62
17077 Elvis Improved Method for Solving Simultaneous Equations in Two Variables with Some Applications
Authors: Elvis Adam Alhassan, Akos Konadu, Ernest Zamanah, David Alemzero, Michael Jackson Adjabui, Ibrahim Justice Musah
Abstract:In this paper, how to solve simultaneous equations using the Elvis improved method is shown. The Elvis improved method says; Make one variable in the first equation the subject; Make the same variable in the second equation the subject; Equate the results and simplify to obtain the value of the unknown variable; Put the value of the variable found into one equation from the first or second steps and simplify for the remaining unknown variable. The difference between our Elvis improved method and the Substitution method is that: with Elvis improved method, the same variable is made the subject in both equations and the two resulting equations equated, unlike the substitution method where one variable is made the subject of only one equation and substituted into the other equation. After describing the Elvis improved method, findings from 100 secondary students and the views of 5 secondary tutors to demonstrate the effectiveness of the method are presented. The study purpose is proved by hypothetical examples.
Keywords: simultaneous equations, substitution method, elimination method, graphical method, Elvis improved methodProcedia PDF Downloads 18
17076 A Study on the Solutions of the 2-Dimensional and Forth-Order Partial Differential Equations
Abstract:In this study, we will carry out a comparative study between the reduced differential transform method, the adomian decomposition method, the variational iteration method and the homotopy analysis method. These methods are used in many fields of engineering. This is been achieved by handling a kind of 2-Dimensional and forth-order partial differential equations called the Kuramoto–Sivashinsky equations. Three numerical examples have also been carried out to validate and demonstrate efficiency of the four methods. Furthermost, it is shown that the reduced differential transform method has advantage over other methods. This method is very effective and simple and could be applied for nonlinear problems which used in engineering.
Keywords: reduced differential transform method, adomian decomposition method, variational iteration method, homotopy analysis methodProcedia PDF Downloads 352
17075 Different Methods of Fe3O4 Nano Particles Synthesis
Authors: Arezoo Hakimi, Afshin Farahbakhsh
Abstract:Herein, we comparison synthesized Fe3O4 using, hydrothermal method, Mechanochemical processes and solvent thermal method. The Hydrothermal Technique has been the most popular one, gathering interest from scientists and technologists of different disciplines, particularly in the last fifteen years. In the hydrothermal method Fe3O4 microspheres, in which many nearly monodisperse spherical particles with diameters of about 400nm, in the mechanochemical method regular morphology indicates that the particles are well crystallized and in the solvent thermal method Fe3O4 nanoparticles have good properties of uniform size and good dispersion.
Keywords: Fe3O4 nanoparticles, hydrothermal method, mechanochemical processes, solvent thermal methodProcedia PDF Downloads 278
17074 A Comparison of Smoothing Spline Method and Penalized Spline Regression Method Based on Nonparametric Regression Model
Authors: Autcha Araveeporn
Abstract:This paper presents a study about a nonparametric regression model consisting of a smoothing spline method and a penalized spline regression method. We also compare the techniques used for estimation and prediction of nonparametric regression model. We tried both methods with crude oil prices in dollars per barrel and the Stock Exchange of Thailand (SET) index. According to the results, it is concluded that smoothing spline method performs better than that of penalized spline regression method.
Keywords: nonparametric regression model, penalized spline regression method, smoothing spline method, Stock Exchange of Thailand (SET)Procedia PDF Downloads 343
17073 Influence of Optimization Method on Parameters Identification of Hyperelastic Models
Authors: Bale Baidi Blaise, Gilles Marckmann, Liman Kaoye, Talaka Dya, Moustapha Bachirou, Gambo Betchewe, Tibi Beda
Abstract:This work highlights the capabilities of particles swarm optimization (PSO) method to identify parameters of hyperelastic models. The study compares this method with Genetic Algorithm (GA) method, Least Squares (LS) method, Pattern Search Algorithm (PSA) method, Beda-Chevalier (BC) method and the Levenberg-Marquardt (LM) method. Four classic hyperelastic models are used to test the diﬀerent methods through parameters identification. Then, the study compares the ability of these models to reproduce experimental Treloar data in simple tension, biaxial tension and pure shear.
Keywords: particle swarm optimization, identification, hyperelastic, modelProcedia PDF Downloads 88
17072 Mathematical Reconstruction of an Object Image Using X-Ray Interferometric Fourier Holography Method
Authors: M. K. Balyan
Abstract:The main principles of X-ray Fourier interferometric holography method are discussed. The object image is reconstructed by the mathematical method of Fourier transformation. The three methods are presented – method of approximation, iteration method and step by step method. As an example the complex amplitude transmission coefficient reconstruction of a beryllium wire is considered. The results reconstructed by three presented methods are compared. The best results are obtained by means of step by step method.
Keywords: dynamical diffraction, hologram, object image, X-ray holographyProcedia PDF Downloads 319
17071 Modified Approximation Methods for Finding an Optimal Solution for the Transportation Problem
Authors: N. Guruprasad
Abstract:This paper presents a modification of approximation method for transportation problems. The initial basic feasible solution can be computed using either Russel's or Vogel's approximation methods. Russell’s approximation method provides another excellent criterion that is still quick to implement on a computer (not manually) In most cases Russel's method yields a better initial solution, though it takes longer than Vogel's method (finding the next entering variable in Russel's method is in O(n1*n2), and in O(n1+n2) for Vogel's method). However, Russel's method normally has a lesser total running time because less pivots are required to reach the optimum for all but small problem sizes (n1+n2=~20). With this motivation behind we have incorporated a variation of the same – what we have proposed it has TMC (Total Modified Cost) to obtain fast and efficient solutions.
Keywords: computation, efficiency, modified cost, Russell’s approximation method, transportation, Vogel’s approximation methodProcedia PDF Downloads 406
17070 Steepest Descent Method with New Step Sizes
Authors: Bib Paruhum Silalahi, Djihad Wungguli, Sugi Guritman
Abstract:Steepest descent method is a simple gradient method for optimization. This method has a slow convergence in heading to the optimal solution, which occurs because of the zigzag form of the steps. Barzilai and Borwein modified this algorithm so that it performs well for problems with large dimensions. Barzilai and Borwein method results have sparked a lot of research on the method of steepest descent, including alternate minimization gradient method and Yuan method. Inspired by previous works, we modified the step size of the steepest descent method. We then compare the modification results against the Barzilai and Borwein method, alternate minimization gradient method and Yuan method for quadratic function cases in terms of the iterations number and the running time. The average results indicate that the steepest descent method with the new step sizes provide good results for small dimensions and able to compete with the results of Barzilai and Borwein method and the alternate minimization gradient method for large dimensions. The new step sizes have faster convergence compared to the other methods, especially for cases with large dimensions.
Keywords: steepest descent, line search, iteration, running time, unconstrained optimization, convergenceProcedia PDF Downloads 457
17069 Calculating Stress Intensity Factor of Cracked Axis by Using a Meshless Method
Authors: S. Shahrooi, A. Talavari
Abstract:Numeral study on the crack and discontinuity using element-free methods has been widely spread in recent years. In this study, for stress intensity factor calculation of the cracked axis under torsional loading has been used from a new element-free method as MLPG method. Region range is discretized by some dispersed nodal points. From method of moving least square (MLS) utilized to create the functions using these nodal points. Then, results of meshless method and finite element method (FEM) were compared. The results is shown which the element-free method was of good accuracy.
Keywords: stress intensity factor, crack, torsional loading, meshless methodProcedia PDF Downloads 489
17068 An Efficient Approach to Optimize the Cost and Profit of a Tea Garden by Using Branch and Bound Method
Authors: Abu Hashan Md Mashud, M. Sharif Uddin, Aminur Rahman Khan
Abstract:In this paper, we formulate a new problem as a linear programming and Integer Programming problem and maximize profit within the limited budget and limited resources based on the construction of a tea garden problem. It describes a new idea about how to optimize profit and focuses on the practical aspects of modeling and the challenges of providing a solution to a complex real life problem. Finally, a comparative study is carried out among Graphical method, Simplex method and Branch and bound method.
Keywords: integer programming, tea garden, graphical method, simplex method, branch and bound methodProcedia PDF Downloads 508
17067 Sewer Culvert Installation Method to Accommodate Underground Construction in an Urban Area with Narrow Streets
Authors: Osamu Igawa, Hiroshi Kouchiwa, Yuji Ito
Abstract:In recent years, a reconstruction project for sewer pipelines has been progressing in Japan with the aim of renewing old sewer culverts. However, it is difficult to secure a sufficient base area for shafts in an urban area because many streets are narrow with a complex layout. As a result, construction in such urban areas is generally very demanding. In urban areas, there is a strong requirement for a safe, reliable and economical construction method that does not disturb the public’s daily life and urban activities. With this in mind, we developed a new construction method called the 'shield switching type micro-tunneling method' which integrates the micro-tunneling method and shield method. In this method, pipeline is constructed first for sections that are gently curved or straight using the economical micro-tunneling method, and then the method is switched to the shield method for sections with a sharp curve or a series of curves without establishing an intermediate shaft. This paper provides the information, features and construction examples of this newly developed method.
Keywords: micro-tunneling method, secondary lining applied RC segment, sharp curve, shield method, switching typeProcedia PDF Downloads 314
17066 Direct Transient Stability Assessment of Stressed Power Systems
Authors: E. Popov, N. Yorino, Y. Zoka, Y. Sasaki, H. Sugihara
Abstract:This paper discusses the performance of critical trajectory method (CTrj) for power system transient stability analysis under various loading settings and heavy fault condition. The method obtains Controlling Unstable Equilibrium Point (CUEP) which is essential for estimation of power system stability margins. The CUEP is computed by applying the CTrjto the boundary controlling unstable equilibrium point (BCU) method. The Proposed method computes a trajectory on the stability boundary that starts from the exit point and reaches CUEP under certain assumptions. The robustness and effectiveness of the method are demonstrated via six power system models and five loading conditions. As benchmark is used conventional simulation method whereas the performance is compared with and BCU Shadowing method.
Keywords: power system, transient stability, critical trajectory method, energy function methodProcedia PDF Downloads 304
17065 Constant Order Predictor Corrector Method for the Solution of Modeled Problems of First Order IVPs of ODEs
Authors: A. A. James, A. O. Adesanya, M. R. Odekunle, D. G. Yakubu
Abstract:This paper examines the development of one step, five hybrid point method for the solution of first order initial value problems. We adopted the method of collocation and interpolation of power series approximate solution to generate a continuous linear multistep method. The continuous linear multistep method was evaluated at selected grid points to give the discrete linear multistep method. The method was implemented using a constant order predictor of order seven over an overlapping interval. The basic properties of the derived corrector was investigated and found to be zero stable, consistent and convergent. The region of absolute stability was also investigated. The method was tested on some numerical experiments and found to compete favorably with the existing methods.
Keywords: interpolation, approximate solution, collocation, differential system, half step, converges, block method, efficiencyProcedia PDF Downloads 266
17064 Development of 3D Particle Method for Calculating Large Deformation of Soils
Authors: Sung-Sik Park, Han Chang, Kyung-Hun Chae, Sae-Byeok Lee
Abstract:In this study, a three-dimensional (3D) Particle method without using grid was developed for analyzing large deformation of soils instead of using ordinary finite element method (FEM) or finite difference method (FDM). In the 3D Particle method, the governing equations were discretized by various particle interaction models corresponding to differential operators such as gradient, divergence, and Laplacian. The Mohr-Coulomb failure criterion was incorporated into the 3D Particle method to determine soil failure. The yielding and hardening behavior of soil before failure was also considered by varying viscosity of soil. First of all, an unconfined compression test was carried out and the large deformation following soil yielding or failure was simulated by the developed 3D Particle method. The results were also compared with those of a commercial FEM software PLAXIS 3D. The developed 3D Particle method was able to simulate the 3D large deformation of soils due to soil yielding and calculate the variation of normal and shear stresses following clay deformation.
Keywords: particle method, large deformation, soil column, confined compressive stressProcedia PDF Downloads 492
17063 The Implementation of Secton Method for Finding the Root of Interpolation Function
Authors: Nur Rokhman
Abstract:A mathematical function gives relationship between the variables composing the function. Interpolation can be viewed as a process of finding mathematical function which goes through some specified points. There are many interpolation methods, namely: Lagrange method, Newton method, Spline method etc. For some specific condition, such as, big amount of interpolation points, the interpolation function can not be written explicitly. This such function consist of computational steps. The solution of equations involving the interpolation function is a problem of solution of non linear equation. Newton method will not work on the interpolation function, for the derivative of the interpolation function cannot be written explicitly. This paper shows the use of Secton method to determine the numerical solution of the function involving the interpolation function. The experiment shows the fact that Secton method works better than Newton method in finding the root of Lagrange interpolation function.
Keywords: Secton method, interpolation, non linear function, numerical solutionProcedia PDF Downloads 303
17062 Ductility Spectrum Method for the Design and Verification of Structures
Authors: B. Chikh, L. Moussa, H. Bechtoula, Y. Mehani, A. Zerzour
Abstract:This study presents a new method, applicable to evaluation and design of structures has been developed and illustrated by comparison with the capacity spectrum method (CSM, ATC-40). This method uses inelastic spectra and gives peak responses consistent with those obtained when using the nonlinear time history analysis. Hereafter, the seismic demands assessment method is called in this paper DSM, Ductility Spectrum Method. It is used to estimate the seismic deformation of Single-Degree-Of-Freedom (SDOF) systems based on DDRS, Ductility Demand Response Spectrum, developed by the author.
Keywords: seismic demand, capacity, inelastic spectra, design and structureProcedia PDF Downloads 318
17061 Stating Best Commercialization Method: An Unanswered Question from Scholars and Practitioners
Authors: Saheed A. Gbadegeshin
Abstract:Commercialization method is a means to make inventions available at the market for final consumption. It is described as an important tool for keeping business enterprises sustainable and improving national economic growth. Thus, there are several scholarly publications on it, either presenting or testing different methods for commercialization. However, young entrepreneurs, technologists and scientists would like to know the best method to commercialize their innovations. Then, this question arises: What is the best commercialization method? To answer the question, a systematic literature review was conducted, and practitioners were interviewed. The literary results revealed that there are many methods but new methods are needed to improve commercialization especially during these times of economic crisis and political uncertainty. Similarly, the empirical results showed there are several methods, but the best method is the one that reduces costs, reduces the risks associated with uncertainty, and improves customer participation and acceptability. Therefore, it was concluded that new commercialization method is essential for today's high technologies and a method was presented.
Keywords: commercialization method, technology, knowledge, intellectual property, innovation, inventionProcedia PDF Downloads 264
17060 Critical Comparison of Two Teaching Methods: The Grammar Translation Method and the Communicative Teaching Method
Authors: Aicha Zohbie
Abstract:The purpose of this paper is to critically compare two teaching methods: the communicative method and the grammar-translation method. The paper presents the importance of language awareness as an approach to teaching and learning language and some challenges that language teachers face. In addition, the paper strives to determine whether the adoption of communicative teaching methods or the grammar teaching method would be more effective to teach a language. A variety of features are considered for comparing the two methods: the purpose of each method, techniques used, teachers’ and students’ roles, the use of L1, the skills that are emphasized, the correction of students’ errors, and the students’ assessments. Finally, the paper includes suggestions and recommendations for implementing an approach that best meets the students’ needs in a classroom.
Keywords: language teaching methods, language awareness, communicative method grammar translation method, advantages and disadvantagesProcedia PDF Downloads 60
17059 Numerical Iteration Method to Find New Formulas for Nonlinear Equations
Authors: Kholod Mohammad Abualnaja
Abstract:A new algorithm is presented to find some new iterative methods for solving nonlinear equations F(x)=0 by using the variational iteration method. The efficiency of the considered method is illustrated by example. The results show that the proposed iteration technique, without linearization or small perturbation, is very effective and convenient.
Keywords: variational iteration method, nonlinear equations, Lagrange multiplier, algorithmsProcedia PDF Downloads 436
17058 Comparison of Finite-Element and IEC Methods for Cable Thermal Analysis under Various Operating Environments
Authors: M. S. Baazzim, M. S. Al-Saud, M. A. El-Kady
Abstract:In this paper, steady-state ampacity (current carrying capacity) evaluation of underground power cable system by using analytical and numerical methods for different conditions (depth of cable, spacing between phases, soil thermal resistivity, ambient temperature, wind speed), for two system voltage level were used 132 and 380 kV. The analytical method or traditional method that was used is based on the thermal analysis method developed by Neher-McGrath and further enhanced by International Electrotechnical Commission (IEC) and published in standard IEC 60287. The numerical method that was used is finite element method and it was recourse commercial software based on finite element method.
Keywords: cable ampacity, finite element method, underground cable, thermal ratingProcedia PDF Downloads 250
17057 Multistage Adomian Decomposition Method for Solving Linear and Non-Linear Stiff System of Ordinary Differential Equations
Authors: M. S. H. Chowdhury, Ishak Hashim
Abstract:In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the classical Adomian decomposition method (ADM) and the multi-stage Adomian decomposition method (MADM). The MADM is a technique adapted from the standard Adomian decomposition method (ADM) where standard ADM is converted into a hybrid numeric-analytic method called the multistage ADM (MADM). The MADM is tested for several examples. Comparisons with an explicit Runge-Kutta-type method (RK) and the classical ADM demonstrate the limitations of ADM and promising capability of the MADM for solving stiff initial value problems (IVPs).
Keywords: stiff system of ODEs, Runge-Kutta Type Method, Adomian decomposition method, Multistage ADMProcedia PDF Downloads 357
17056 A Method for Measurement and Evaluation of Drape of Textiles
Authors: L. Fridrichova, R. Knížek, V. Bajzík
Abstract:Drape is one of the important visual characteristics of the fabric. This paper is introducing an innovative method of measurement and evaluation of the drape shape of the fabric. The measuring principle is based on the possibility of multiple vertical strain of the fabric. This method more accurately simulates the real behavior of the fabric in the process of draping. The method is fully automated, so the sample can be measured by using any number of cycles in any time horizon. Using the present method of measurement, we are able to describe the viscoelastic behavior of the fabric.
Keywords: drape, drape shape, automated drapemeter, fabricProcedia PDF Downloads 583
17055 Zero-Dissipative Explicit Runge-Kutta Method for Periodic Initial Value Problems
Authors: N. Senu, I. A. Kasim, F. Ismail, N. Bachok
Abstract:In this paper zero-dissipative explicit Runge-Kutta method is derived for solving second-order ordinary differential equations with periodical solutions. The phase-lag and dissipation properties for Runge-Kutta (RK) method are also discussed. The new method has algebraic order three with dissipation of order infinity. The numerical results for the new method are compared with existing method when solving the second-order differential equations with periodic solutions using constant step size.
Keywords: dissipation, oscillatory solutions, phase-lag, Runge-Kutta methodsProcedia PDF Downloads 343
17054 Reflection on Using Bar Model Method in Learning and Teaching Primary Mathematics: A Hong Kong Case Study
Authors: Chui Ka Shing
Abstract:This case study research attempts to examine the use of the Bar Model Method approach in learning and teaching mathematics in a primary school in Hong Kong. The objectives of the study are to find out to what extent (a) the Bar Model Method approach enhances the construction of students’ mathematics concepts, and (b) the school-based mathematics curriculum development with adopting the Bar Model Method approach. This case study illuminates the effectiveness of using the Bar Model Method to solve mathematics problems from Primary 1 to Primary 6. Some effective pedagogies and assessments were developed to strengthen the use of the Bar Model Method across year levels. Suggestions including school-based curriculum development for using Bar Model Method and further study were discussed.
Keywords: bar model method, curriculum development, mathematics education, problem solvingProcedia PDF Downloads 148
17053 An Analytical Method for Bending Rectangular Plates with All Edges Clamped Supported
Authors: Yang Zhong, Heng Liu
Abstract:The decoupling method and the modified Naiver method are combined for accurate bending analysis of rectangular thick plates with all edges clamped supported. The basic governing equations for Mindlin plates are first decoupled into independent partial differential equations which can be solved separately. Using modified Navier method, the analytic solution of rectangular thick plate with all edges clamped supported is then derived. The solution method used in this paper leave out the complicated derivation for calculating coefficients and obtain the solution to problems directly. Numerical comparisons show the correctness and accuracy of the results at last.
Keywords: Mindlin plates, decoupling method, modified Navier method, bending rectangular platesProcedia PDF Downloads 510
17052 About Some Results of the Determination of Alcohol in Moroccan Gasoline-Alcohol Mixtures
Authors: Mahacine Amrani
Abstract:A simple and rapid method for the determination of alcohol in gasoline-alcohol mixtures using density measurements is described. The method can determine a minimum of 1% of alcohol by volume. The precision of the method is ± 3%.The method is more useful for field test in the quality assessment of alcohol blended fuels.
Keywords: gasoline-alcohol, mixture, alcohol determination, density, measurement, MoroccoProcedia PDF Downloads 229
17051 The Finite Element Method for Nonlinear Fredholm Integral Equation of the Second Kind
Authors: Melusi Khumalo, Anastacia Dlamini
Abstract:In this paper, we consider a numerical solution for nonlinear Fredholm integral equations of the second kind. We work with uniform mesh and use the Lagrange polynomials together with the Galerkin finite element method, where the weight function is chosen in such a way that it takes the form of the approximate solution but with arbitrary coefficients. We implement the finite element method to the nonlinear Fredholm integral equations of the second kind. We consider the error analysis of the method. Furthermore, we look at a specific example to illustrate the implementation of the finite element method.
Keywords: finite element method, Galerkin approach, Fredholm integral equations, nonlinear integral equationsProcedia PDF Downloads 161
17050 An Online 3D Modeling Method Based on a Lossless Compression Algorithm
Authors: Jiankang Wang, Hongyang Yu
Abstract:This paper proposes a portable online 3D modeling method. The method first utilizes a depth camera to collect data and compresses the depth data using a frame-by-frame lossless data compression method. The color image is encoded using the H.264 encoding format. After the cloud obtains the color image and depth image, a 3D modeling method based on bundlefusion is used to complete the 3D modeling. The results of this study indicate that this method has the characteristics of portability, online, and high efficiency and has a wide range of application prospects.
Keywords: 3D reconstruction, bundlefusion, lossless compression, depth imageProcedia PDF Downloads 12
17049 A Method for Modeling Flexible Manipulators: Transfer Matrix Method with Finite Segments
Authors: Haijie Li, Xuping Zhang
Abstract:This paper presents a computationally efficient method for the modeling of robot manipulators with flexible links and joints. This approach combines the Discrete Time Transfer Matrix Method with the Finite Segment Method, in which the flexible links are discretized by a number of rigid segments connected by torsion springs; and the flexibility of joints are modeled by torsion springs. The proposed method avoids the global dynamics and has the advantage of modeling non-uniform manipulators. Experiments and simulations of a single-link flexible manipulator are conducted for verifying the proposed methodologies. The simulations of a three-link robot arm with links and joints flexibility are also performed.
Keywords: flexible manipulator, transfer matrix method, linearization, finite segment methodProcedia PDF Downloads 359