**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**1070

# World Academy of Science, Engineering and Technology

## [Mathematical and Computational Sciences]

### Online ISSN : 1307-6892

##### 1070 Step Method for Solving Nonlinear Two Delays Differential Equation in Parkinson’s Disease

**Authors:**
Hamdy Agiza,
Mohamed Elsohaly,
Mohamed Elfouly

**Abstract:**

**Keywords:**
parkinson's disease,
delay differential equation,
step method,
two delays

##### 1069 Non-Uniqueness of Partial Differential Equations Options Price Valuation Formula for Heston Stochastic Volatility Model

**Authors:**
H. C. Chinwenyi,
H. D. Ibrahim,
T. Danjuma

**Abstract:**

**Keywords:**
Partial Differential Equations,
option price valuation,
Black-Scholes partial differential equations,
Ito process

##### 1068 Using Nonhomogeneous Poisson Process with Compound Distribution to Price Catastrophe Options

**Authors:**
Rong-Tsorng Wang

**Abstract:**

**Keywords:**
pricing model,
catastrophe equity put options,
compound distributions,
nonhomogeneous Poisson process

##### 1067 Robust Numerical Method for Singularly Perturbed Semilinear Boundary Value Problem with Nonlocal Boundary Condition

**Authors:**
Habtamu Garoma Debela,
Gemechis File Duressa

**Abstract:**

**Keywords:**
singular perturbation,
nonlocal boundary condition,
nonstandard fitted operator,
semilinear problem,
uniformly convergent

##### 1066 Mathematical Analysis of Simple Supported Euler-Bernoulli Beam on a Variable Elastic Foundation under a Partially Distributed Moving Load.

**Authors:**
I. A. Idowu,
S. O. Sogunro,
A. O. Atilade,
T. A. Abozos

**Abstract:**

**Keywords:**
moving load,
elastic foundation,
Euler-Bernoulli beam,
Variable pre-stressed,
partially distributed,
moving force

##### 1065 Numerical Investigation of Hybrid Ferrofluid Unsteady Flow through Porous Channel

**Authors:**
M. Zubair Akbar Qureshi,
Wajahat Hussain Khan

**Abstract:**

**Keywords:**
Heat Transfer,
Magnetic Field,
porous channel,
hybrid ferrofluid

##### 1064 The Physical Impact of Nano-Layer Due to Dispersions of Carbon Nano-Tubes through an Absorbent Channel: A Numerical Nano-Fluid Flow Model

**Authors:**
Muhammad Zubair Akbar Qureshi,
Abdul Bari Farooq

**Abstract:**

**Keywords:**
carbon nano-tubes,
Thermal Conductivity,
magneto-hydrodynamics,
nano-layer

##### 1063 Thermal Analysis for Darcy Forchheimer Effect with Hybrid Ferro Fluid Flow

**Authors:**
M. Zubair Akbar Qureshi,
Behzad Ali Khan

**Abstract:**

**Keywords:**
porous medium,
porous channel,
darcy forcheimer,
hybrid ferro fluid

##### 1062 Numerical Study of Entropy Generation Due to Hybrid Nano-Fluid Flow through Coaxial Porous Disks

**Authors:**
Muhammad Bilal Ameen,
M. Zubair Akbar Qureshi

**Abstract:**

**Keywords:**
Heat Transfer,
entropy generation,
hybrid nano fluid,
porous disks

##### 1061 Economic Development Process: A Compartmental Analysis of a Model with Two Delays

**Authors:**
Charles Awono Onana,
Amadou Banda Ndione

**Abstract:**

**Keywords:**
Economic Development,
Hopf Bifurcation,
Fiscal Policy,
compartmental systems,
delayed dynamical system

##### 1060 Jensen's Inequality and M-Convex Functions

**Authors:**
Yamin Sayyari

**Abstract:**

**Keywords:**
Inequality,
Jensen's inequality,
Convex function,
m-convex function

##### 1059 Multiscale Simulation of Ink Seepage into Fibrous Structures through a Mesoscopic Variational Model

**Authors:**
Athmane Bakhta,
Sebastien Leclaire,
David Vidal,
Francois Bertrand,
Mohamed Cheriet

**Abstract:**

**Keywords:**
Modelling and simulation,
Monte Carlo,
fibrous media,
lattice Boltzmann,
variational model

##### 1058 Optimization of Coefficients of Fractional Order Proportional-Integrator-Derivative Controller on Permanent Magnet Synchronous Motors Using Particle Swarm Optimization

**Authors:**
Ali Motalebi Saraji,
Reza Zarei Lamuki

**Abstract:**

**Keywords:**
Particle Swarm Optimization,
speed control loop of permanent magnet synchronous motor,
fractional and full order proportional-integrator-derivative controller,
coefficients optimization,
improvement of behavior

##### 1057 A Topological Approach for Motion Track Discrimination

**Authors:**
Tegan H. Emerson,
Colin C. Olson,
George Stantchev,
Jason A. Edelberg,
Michael Wilson

**Abstract:**

**Keywords:**
topological data analysis,
motion tracks,
persistence images,
time-delay embedding

##### 1056 Distributed Minimum Spanning Forest

**Authors:**
Ahmad Shahzad,
Frans Coenen

**Abstract:**

**Keywords:**
Distributed Algorithms,
minimum spanning tree,
Distributed Kruskal’s Algorithm,
Minimum Spanning Forest

##### 1055 Matching on Bipartite Graphs with Applications to School Course Registration Systems

**Authors:**
Zhihan Li

**Abstract:**

**Keywords:**
Graph Theory,
bipartite graph,
Ford-Fulkerson (F.F.) algorithm,
maximum matching

##### 1054 Identifying Network Subgraph-associated Essential Genes in Molecular Networks

**Authors:**
Chien-Hung Huang,
Ka-Lok Ng,
Efendi Zaenudin

**Abstract:**

**Keywords:**
Graph Theory,
essential genes,
biological molecular networks,
network subgraphs

##### 1053 Pure and Mixed Nash Equilibria Domain of a Discrete Game Model with Dichotomous Strategy Space

**Authors:**
A. S. Mousa,
F. Shoman

**Abstract:**

**Keywords:**
Game theory,
Nash Equilibrium,
coherent strategy,
split strategy,
pure strategy,
mixed strategy

##### 1052 Jacobson Semisimple Skew Inverse Laurent Series Rings

**Authors:**
Ahmad Moussavi

**Abstract:**

**Keywords:**
skew polynomial rings,
Laurent series,
skew inverse Laurent series rings

##### 1051 Learning from Dendrites: Improving the Point Neuron Model

**Authors:**
Alexander Vandesompele,
Joni Dambre

**Abstract:**

**Keywords:**
Spiking Neural Networks,
dendritic computation,
point neuron model

##### 1050 Chinese Remainder Theorem and Decidability

**Authors:**
Zahra Sheikhaleslami

**Abstract:**

**Keywords:**
Chinese Remainder Theorem,
Decidability,
general Chinese remainder theorem,
quantifier-elimination

##### 1049 Hermite-Hadamard Type Integral Inequalities Involving k-Riemann-Liouville Fractional Integrals and Their Applications

**Authors:**
A. Kashuri,
R. Liko

**Abstract:**

**Keywords:**
Hermite-Hadamard's inequalities,
Hölder's inequality,
k-Riemann-Liouville fractional integral,
special means

##### 1048 Dual-Actuated Vibration Isolation Technology for Precise Motion Control of a Rotary System Mounted on an Oscillation-Transmitting Structure

**Authors:**
Kamand Bagherian,
Nariman Niknejad

**Abstract:**

**Keywords:**
Vibration Isolation,
Stability Robustness,
Position Control,
Active Damping,
discrete-time nonlinear controller,
disturbance tracking algorithm,
oscillation transmitting support

##### 1047 On Lie-Central Derivations and Almost Inner Lie-Derivations of Leibniz Algebras

**Authors:**
Natalia Pacheco Rego

**Abstract:**

**Keywords:**
almost inner Lie-derivation,
Lie-center,
Lie-central derivation,
Lie-derivation

##### 1046 Market Solvency Capital Requirement Minimization: How Non-linear Solvers Provide Portfolios Complying with Solvency II Regulation

**Authors:**
Abraham Castellanos,
Christophe Durville,
Sophie Echenim

**Abstract:**

**Keywords:**
Portfolio Management,
Numerical Optimization,
financial risk,
solvency capital requirement

##### 1045 Continuous-Time and Discrete-Time Singular Value Decomposition of an Impulse Response Function

**Authors:**
Yucheng Liu,
Rogelio Luck

**Abstract:**

**Keywords:**
Green’s Function,
singular value decomposition,
impulse response function,
Hankel Matrix,
Toeplitz matrix

##### 1044 Collective Strategies Dominate in Spatial Iterated Prisoners Dilemma

**Authors:**
Jiawei Li

**Abstract:**

**Keywords:**
Evolutionary game theory,
spatial prisoners dilemma,
collective strategy,
master-slave mechanism

##### 1043 Pricing European Options under Jump Diffusion Models with Fast L-stable Padé Scheme

**Authors:**
Salah Alrabeei,
Mohammad Yousuf

**Abstract:**

**Keywords:**
integral differential equations,
jump–diffusion model,
L-stable methods,
pricing European options

##### 1042 Model of Optimal Centroids Approach for Multivariate Data Classification

**Authors:**
Pham Van Nha,
Cam Le Binh

**Abstract:**

**Keywords:**
Global optimization,
analysis of optimization,
artificial intelligence based optimization,
optimization for learning and data analysis

##### 1041 Identification of Clinical Characteristics from Persistent Homology Applied to Tumor Imaging

**Authors:**
Eashwar V. Somasundaram,
Raoul R. Wadhwa,
Jacob G. Scott

**Abstract:**

**Keywords:**
Oncology,
Cancer Biology,
Persistent Homology,
radiomics,
topological data analysis,
tumor imaging