Applied and Computational Mathematics

Volume 3, Issue 1, February 2014

  • Thermodynamic Analysis of Variable Viscosity MHD Unsteady Generalized Couette Flow with Permeable Walls

    David Theuri, Oluwole Daniel Makinde

    Issue: Volume 3, Issue 1, February 2014
    Pages: 1-8
    Received: 23 September 2013
    Accepted:
    Published: 20 January 2014
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    Abstract: The thermodynamic first and second law analyses of a temperature dependent viscosity hydromagnetic generalized unsteady Couette flow with permeable walls is investigated. The transient model problem for momentum and energy balance is tackled numerically using a semi-discretization method while the steady state boundary value problem is solved by sh... Show More
  • Numerical Solution of Linear Volterra Integro-Differential Equation using Runge-Kutta-Fehlberg Method

    Ali Filiz

    Issue: Volume 3, Issue 1, February 2014
    Pages: 9-14
    Received: 18 August 2013
    Accepted:
    Published: 20 February 2014
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    Abstract: In this paper a new fourth and fifth-order numerical solution of linear Volterra integro-differential equation is discussed. One popular technique that uses here for error control is called the Runge-Kutta-Fehlberg method for Ordinary Differential Equation (ODE) part and Newton-Cotes formulae for integral parts.
  • Solution of a Diffusion Problem in a Non-Homogeneous Flow and Diffusion Field by the Integral Representation Method (IRM)

    Hiroshi Isshiki, Shuichi Nagata, Yasutaka Imai

    Issue: Volume 3, Issue 1, February 2014
    Pages: 15-26
    Received: 10 January 2014
    Accepted:
    Published: 20 February 2014
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    Abstract: Integral representations are derived from a differential-type boundary value problem using a fundamental solution. A set of integral representations is equivalent to a set of differential equations. If the boundary conditions are substituted into the integral representations, the integral equations are obtained, and the unknown variables are determ... Show More
  • Application of Optimal HAM for Solving the Fractional Order Logistic Equation

    Mohamed S. Mohamed

    Issue: Volume 3, Issue 1, February 2014
    Pages: 27-31
    Received: 08 December 2013
    Accepted:
    Published: 28 February 2014
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    Abstract: In this paper, we use the optimal homotopy analysis method (OHAM) for approximate solutions of the fractional order Logistic equation. The numerical results obtained are compared with the results obtained by using variational iteration method (VIM) and Adomian decomposition method (ADM). The fractional derivatives are described by Caputo's sense. E... Show More
  • Existence and Uniqueness of Mild Solutions for Fractional Integrodifferential Equations

    V. Dhanapalan, M. Thamilselvan, M. Chandrasekaran

    Issue: Volume 3, Issue 1, February 2014
    Pages: 32-37
    Received: 30 January 2014
    Accepted:
    Published: 10 March 2014
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  • An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method

    U. Filobello-Nino, H. Vazquez-Leal, A. Perez-Sesma, J. Cervantes-Perez, V. M. Jimenez-Fernandez, L. Hernandez-Martinez, D. Pereyra-Diaz, R. Castaneda-Sheissa, J. Sanchez-Orea, C. Hoyos-Reyes, S. F. Hernandez-Machuca, J. Huerta-Chua, J. L. Rocha-Fernandez, A. D. Contreras-Hernandez, J. M. Mendez-Perez

    Issue: Volume 3, Issue 1, February 2014
    Pages: 38-42
    Received: 19 February 2014
    Accepted:
    Published: 10 March 2014
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    Abstract: This article proposes Perturbation Method (PM) to find an approximate solution for the problem of an axis symmetric Newtonian fluid squeezed between two large parallel plates. After comparing figures between approximate and exact solutions, we will see that the proposed solutions besides of handy, are highly accurate and therefore that PM is effici... Show More