Application of The Full-Sweep AOR Iteration Concept for Space-Fractional Diffusion Equation

4th International Conference on Science & Engineering in Mathematics, Chemistry and Physics 2016

数学;化学;物理学

Sunarto, A.^1 ; Sulaiman, J.^1 ; Saudi, A.^2

Faculty of Science and Natural Resources, Universiti Malaysia Sabah, Malaysia^1

Faculty of Computing and Informatics, Universiti Malaysia Sabah, Malaysia^2

关键词: AOR iterative method;    Approximation equations;    Implicit finite-difference schemes;    Numerical tests;    Space-fractional diffusions;    System of linear equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/710/1/012019/pdf
DOI  :  10.1088/1742-6596/710/1/012019

来源: IOP

【 摘 要 】

The aim of this paper is to investigate the effectiveness of the Full-Sweep AOR Iterative method by using Full-Sweep Caputo's approximation equation to solve space-fractional diffusion equations. The governing space-fractional diffusion equations were discretized by using Full-Sweep Caputo's implicit finite difference scheme to generate a system of linear equations. Then, the Full-Sweep AOR iterative method is applied to solve the generated linear system To examine the application of FSAOR method two numerical tests are conducted to show that the FSAOR method is superior to the FSSOR and FSGS methods.