Fourth-Order Crank-Nicolson Solution for Solving Diffusion Equation Using MSOR Iteration

被引：0

作者：

Muhiddin, Fatihah Anas ^{[1
]}

Sulaiman, Jumat ^{[2
]}

机构：

[1] Univ Teknol MARA Cawangan Sabah, Fac Comp & Math Sci, Kota Kinabalu, Sabah, Malaysia

[2] Univ Malaysia Sabah, Math Econ Programme, Kota Kinabalu, Sabah, Malaysia

来源：

ADVANCED SCIENCE LETTERS | 2018年 / 24卷 / 03期

关键词：

Fourth-Order; Crank-Nicolson; Finite Difference Diffusion Equation; Iterative Method; FINITE-DIFFERENCE SCHEMES; COMBINATION TECHNIQUE;

D O I：

10.1166/asl.2018.11187

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Recently, numerous applications in engineering, sciences and economics can be modeled into diffusion equations problems. In this paper, we investigate the effectiveness of the Modified Successive Over-Relaxation (MSOR) iterative method in solving linear system generated from discretization of one-dimensional diffusion equation using fourth-order Crank-Nicolson discretization scheme. In order to access the performance results of the proposed iterative method with the fourth-order Crank-Nicolson scheme, other point iterative methods which are Gauss-Seidel (GS) and Successive Over-Relaxation (SOR) also presented as reference method. Finally the numerical results obtained from the use of the fourth-order Crank-Nicolson discretization scheme, it can be pointed out that the MSOR iterative method is superior in terms of number of iterations, execution time, and maximum absolute error.

引用

页码：1912 / 1916

页数：5

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