Applied and Computational Mathematics

Volume 4, Issue 1, January 2015

  • 3D Goursat Problem in the Non-Classical Treatment for Manjeron Generalized Equation with Non-Smooth Coefficients

    Ilgar Gurbat oglu Mamedov

    Issue: Volume 4, Issue 1-1, January 2015
    Pages: 1-5
    Received: 21 April 2014
    Accepted: 22 June 2014
    Published: 30 June 2014
    DOI: 10.11648/j.acm.s.2015040101.11
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    This article belongs to the Special Issue New Orientations in Applied and Computational Mathematics
    Abstract: In this paper substantiated for a Manjeron generalized equation with non-smooth coefficients a three dimensional Goursat problem -3D Goursat problem with non-classical boundary conditions is considered, which requires no matching conditions. Equivalence of these conditions three dimensional boundary condition is substantiated classical, in the case... Show More
  • Implicit Runge-Kutta Method for Van Der Pol Problem

    Jafar Biazar, Meysam Navidyan

    Issue: Volume 4, Issue 1-1, January 2015
    Pages: 6-11
    Received: 7 June 2014
    Accepted: 25 June 2014
    Published: 13 July 2014
    DOI: 10.11648/j.acm.s.2015040101.12
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    This article belongs to the Special Issue New Orientations in Applied and Computational Mathematics
    Abstract: In this manuscript the implicit Runge-Kutta (IRK) method, with three slopes of order five has been explained, and is applied to Van der pol stiff differential equation. Truncation error, of order five, has been estimated. Stability of the procedure for the Van der pol equation, is analyzed by the Lyapunov method. To illustrate the structure of the... Show More
  • Comparison between Finite Volume Method (FVM) Based on Inviscid and Viscous Flow with Experimental and Fluent Results

    Abobaker Mohammed Alakashi, Bambang Basuno, Hasan Taher. M. Elkamel

    Issue: Volume 4, Issue 1-1, January 2015
    Pages: 12-17
    Received: 4 January 2015
    Accepted: 26 January 2015
    Published: 9 February 2015
    DOI: 10.11648/j.acm.s.2015040101.13
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    This article belongs to the Special Issue New Orientations in Applied and Computational Mathematics
    Abstract: The Finite Volume Method (FVM) is currently the most popular method in CFD. The main reason is that it can resolve some of the difficulties that the other methods have. Finite volume methods are a class of discretization schemes that have proven highly successful in approximating the solution of a wide variety of conservation law systems [1]. Finit... Show More