Implementation of the half-sweep AOR iterative algorithm for space-fractional diffusion equations

• Main Authors: Andang Sunarto, Jumat Sulaiman, Azali Saudi
• Format: Article
• Language: English; English
• Published: UTM Press 2016
• Subjects: QA Mathematics
• Online Access: https://eprints.ums.edu.my/id/eprint/20645/1/Implementation%20of%20the%20half.pdf; https://eprints.ums.edu.my/id/eprint/20645/7/IMPLEMENTATION%20OF%20THE%20HALF-SWEEP%20AOR%20ITERATIVE%20ALGORITHM%20FOR%20SPACE-FRACTIONAL%20DIFFUSION%20EQUATIONS.pdf; https://eprints.ums.edu.my/id/eprint/20645/; https://jurnalteknologi.utm.my/index.php/jurnalteknologi/article/view/8968

In this paper, we consider the numerical solution of one dimensional space-fractional diffusion equation. The half-sweep AOR (HSAOR) iterative method is applied to solve linear system generated from discretization of one dimensional space-fractional diffusion equation using Caputo’s derivative opera...