Open AccessAlgorithm solution for space-fractional diffusion equations
Author(s) -
Andang Sunarto,
Jumat Sulaiman
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.179
H-Index - 26
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/725/1/012086
Subject(s) - discretization , mathematics , iterative method , finite difference method , finite difference , space (punctuation) , mathematical analysis , diffusion equation , mathematical optimization , computer science , operating system , economy , economics , service (business)
In this study, we propose approximate algorithm solution of the space-fractional diffusion equation (SFDE’s) based on a quarter-sweep (QS) implicit finite difference approximation equation. To derive this approximation equation, the Caputo’s space-fractional derivative has been used to discretize the proposed problems. By using the Caputo’s finite difference approximation equation, a linear system will be generated and solved iteratively. In addition to that, formulation and implementation algorithm the Quarter-Sweep AOR (QSAOR) iterative method are also presented. Based on numerical results of the proposed iterative method, it can be concluded that the proposed iterative method is superior to the FSAOR and HSAOR iterative method.