American Journal of Applied Mathematics

Volume 3, Issue 3, June 2015

  • Weighted Method Based Trust Region-Particle Swarm Optimization for Multi-Objective Optimization

    M. A. El-Shorbagy

    Issue: Volume 3, Issue 3, June 2015
    Pages: 81-89
    Received: Feb. 28, 2015
    Accepted: Apr. 03, 2015
    Published: Apr. 14, 2015
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    Abstract: In this study, a hybrid approach combining trust region (TR) algorithm and particle swarm optimization (PSO) is proposed to solve multi-objective optimization problems (MOOPs). The proposed approach integrates the merits of both TR and PSO. Firstly, the MOOP converting by weighted method to a single objective optimization problem (SOOP) and some of... Show More
  • The Comparison Adomian Decomposition Method and Differential Quadrature Method for Solving Some Nonlinear Partial Diferential Equations

    Zahra Adabi Firoozjae, Allahbakhsh yazdani

    Issue: Volume 3, Issue 3, June 2015
    Pages: 90-94
    Received: Mar. 30, 2015
    Accepted: Apr. 03, 2015
    Published: Apr. 16, 2015
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    Abstract: Nonlinear partial diferential equations are a class of partial diferential equations having many important uses in engineering and sciences. In this work we display a comparison between Adomian Decomposition Method (ADM) and Differential Quadrature Method (DQM) for solving some nonlinear partial diferential equations. We found the existence of exac... Show More
  • A Computer Technique for Duality Theory in Linear Programs

    A. K. M. Nazimuddin, Ahsan Ali

    Issue: Volume 3, Issue 3, June 2015
    Pages: 95-99
    Received: Mar. 25, 2015
    Accepted: Apr. 07, 2015
    Published: Apr. 27, 2015
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    Abstract: The aim of this paper is to develop a computer oriented program for analyzing duality of a Linear Program (LP) by the programming language MATHEMATICA. Also we will show the efficiency of our program by analyzing the duality with numerical examples.
  • Applications of the exp(-Φ(ξ))-Expansion Method to Find Exact Traveling Wave Solutions of the Benney-Luke Equation in Mathematical Physics

    S. M. Rayhanul Islam

    Issue: Volume 3, Issue 3, June 2015
    Pages: 100-105
    Received: Apr. 06, 2015
    Accepted: Apr. 18, 2015
    Published: Apr. 29, 2015
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    Abstract: In this article, we construct the traveling wave solutions involving parameters of nonlinear evolutions equations via the Benney-Luke equation using the exp(-Φ(ξ))-expansion method. The traveling wave solutions are expressed in terms of hyperbolic, trigonometric and rational functions. When the parameters are taken special values, the solitary wave... Show More
  • Estimation of Boron Ground State Energy by Monte Carlo Simulation

    K. M. Ariful Kabir, Amal Halder

    Issue: Volume 3, Issue 3, June 2015
    Pages: 106-111
    Received: Apr. 02, 2015
    Accepted: Apr. 23, 2015
    Published: May 06, 2015
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    Abstract: Quantum Monte Carlo (QMC) method is a powerful computational tool for finding accurate approximation solutions of the quantum many body stationary Schrödinger equations for atoms, molecules, solids and a variety of model systems. Using Variational Monte Carlo method we have calculated the ground state energy of the Boron atom. Our calculations are ... Show More
  • Study on Financial Time Series Prediction Based on Phase Space Reconstruction and Support Vector Machine (SVM)

    Hong Zhang, Li Zhou, Jie Zhu

    Issue: Volume 3, Issue 3, June 2015
    Pages: 112-117
    Received: Mar. 31, 2015
    Accepted: Apr. 14, 2015
    Published: May 04, 2015
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    Abstract: Analyzing and forecasting the financial market based on the theory of phase space reconstruction of support vector regression. The key point of the phase space reconstruction is to choose the optimal delay time, and to find the optimal embedding dimension of space. This paper proposes the use of false nearest neighbor method to construct the error ... Show More
  • Solution of Wave Equations on Transmission Lines where Leakage to Ground on the Line is Negligible

    Michael Olufemi OKE

    Issue: Volume 3, Issue 3, June 2015
    Pages: 124-128
    Received: May 03, 2015
    Accepted: May 15, 2015
    Published: May 26, 2015
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    Abstract: This paper presents the solution of wave equations on transmission lines where leakage to ground on the line is very small. As a result of the leakages to ground on the transmission lines which are negligible, the conductance and the inductance, which are responsible for leakages on the line, are set to zero in the model of the general wave equatio... Show More
  • Empirical Research on Chinese Warrants Market Based on the Montecarlo Pricing Options Under Levy Process

    Li Zhou, Hong Zhang, Jian Guo, Anjie Deng

    Issue: Volume 3, Issue 3, June 2015
    Pages: 129-137
    Received: May 04, 2015
    Accepted: May 13, 2015
    Published: May 27, 2015
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    Abstract: After the 2008 financial crisis, the global derivatives trading volume in options proportion is growing, more and more investors build portfolios using options to hedge or arbitrage, our futures and stock options will soon open. Theoretical research of options is also changing, option pricing models under Levy processes developed rapidly. In this c... Show More
  • Application of Brody Growth Function to Describe Dynamics of Breast Cancer Cells

    Abdulsamad Engida Sado, Purnachandra Rao Koya

    Issue: Volume 3, Issue 3, June 2015
    Pages: 138-145
    Received: Apr. 17, 2015
    Accepted: Apr. 29, 2015
    Published: May 28, 2015
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    Abstract: In this paper we have constructed a mathematical model using Brody function and applied to describe the dynamics of breast cancer. To construct the mathematical model we considered that the linear cancer network technique describes the growth of estrogen receptor positive breast cancers. Model validity is verified using simulation study and mathema... Show More
  • Equilibrium Mechanisms in Models of Reproduction with a Fixed Budget

    Sabir Isa Hamidov

    Issue: Volume 3, Issue 3, June 2015
    Pages: 146-150
    Received: Apr. 24, 2015
    Accepted: May 15, 2015
    Published: May 29, 2015
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    Abstract: In the study of some models of reproduction of equilibrium mechanisms are used to describe the activity of the economic systems. As the equilibrium mechanisms models with the fixed budgets can be applied. Typically, the control center can not anticipate all situations. Hence, some variations of the initial model parameters are possible. Therefore, ... Show More
  • Study of American Option Pricing Based on Levy Process

    Hong Zhang, Jie Zhu, Jian Guo, Li Zhou

    Issue: Volume 3, Issue 3, June 2015
    Pages: 151-156
    Received: May 08, 2015
    Accepted: May 22, 2015
    Published: Jun. 01, 2015
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    Abstract: After the 2008 financial crisis, the global derivatives trading volume in options proportion is growing, more and more investors build portfolios using options to hedge or arbitrage, our futures and stock options will soon open. Theoretical research of options is also changing, option pricing models under Levy processes developed rapidly. In this c... Show More
  • Investigate Micropolar Fluid Behavior on MHD Free Convection and Mass Transfer Flow with Constant Heat and Mass Fluxes by Finite Difference Method

    Lasker Ershad Ali, Ariful Islam, Nazmul Islam

    Issue: Volume 3, Issue 3, June 2015
    Pages: 157-168
    Received: Mar. 06, 2015
    Accepted: Mar. 16, 2015
    Published: Jun. 08, 2015
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    Abstract: Micropolar fluid behavior on MHD free convection and mass transfer with constant heat and mass fluxes is studied numerically. Finite difference technique is used as the main tool for the numerical approach. Micropolar fluid behavior on MHD steady free convection and mass transfer with constant heat and mass fluxes have been considered and its simil... Show More