Fourth-order numerical solutions of diffusion equation by using SOR method with Crank-Nicolson approach

Fourth-order numerical solutions of diffusion equation by using SOR method with Crank-Nicolson approach

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The aim of this paper is to investigate the effectiveness of the Successive Over-Relaxation (SOR) iterative method by using the fourth-order Crank-Nicolson (CN) discretization scheme to derive a five-point Crank-Nicolson approximation equation in order to solve diffusion equation. From this approxim...

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Bibliographic Details
Main Authors: Muhammad N. (Author), Muhiddin, F.A (Author), Sulaiman, J. (Author)
Format: Article
Language:English
Published: Institute of Physics Publishing 2017
Subjects:
Approximation equations
Diffusion equations
Discretization scheme
Iterative methods
Maximum absolute error
Number of iterations
Numerical methods
Numerical solution
Partial differential equations
SOR iterative method
Successive over relaxation
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