Archive:: Applied and Computational Mathematics:: Science Publishing Group

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

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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

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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

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