Application of SOR iteration with nonlocal arithmetic discretization scheme for solving Burger’s equation

The purpose of this paper is to analyze the performance of Successive Over Relaxation (SOR) method with nonlocal arithmetic discretization scheme for solving Burger’s equations. To do this matter, the proposed problems need to be discretized by using second-order implicit scheme to derive the corres...

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Bibliographic Details
Main Authors: Zainal, N. F. A., Sulaiman, J., Alibubin, M. U.
Format: Conference Proceeding
Language:English
Subjects:
Arithmetic
Computing time
Discretization
Finite difference method
Iterative methods
Linear equations
Mathematical analysis
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Summary:The purpose of this paper is to analyze the performance of Successive Over Relaxation (SOR) method with nonlocal arithmetic discretization scheme for solving Burger’s equations. To do this matter, the proposed problems need to be discretized by using second-order implicit scheme to derive the corresponding nonlinear second order implicit finite difference approximate equation. Then, the nonlocal arithmetic discretization scheme is used to transform the corresponding nonlinear implicit approximation equation into a system of linear equations. Furthermore, numerical results of four proposed problems are also included in order to analyze the performance of SOR method compared to Gauss-Seidel (GS) method. Based on numerical results, it can be concluded that SOR method is more efficient than GS in terms of iteration numbers and computational time.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5054234