Open AccessInvestigation of Fractional Diffusion Equation via QSGS iterations
Author(s) -
Andang Sunarto,
Jumat Sulaiman
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1179/1/012014
Subject(s) - mathematics , discretization , iterative method , dirichlet boundary condition , gauss–seidel method , fractional calculus , boundary value problem , finite difference method , partial differential equation , diffusion equation , mathematical analysis , mathematical optimization , economy , economics , service (business)
We investigate the application of Quarter-Sweep Gauss-Seidel (QSGS) iterative method for solving (SFPDE’s) space-fractional partial diffusion equations with Dirichlet boundary condition. To do this, implicit finite difference scheme and Caputo’s derivative operator are used to discretize one-dimensional linear space-fractional equation to form system of linear equations. Then basic ideas formulation and application of the suggested iterative method are also introduced. Numerical examples of tested problems were carried out to demonstrate advantages of the proposed iterative method beside to the HSGS and FSGS as control method. Based on computational results, the QSGS method is shown to be the most superior than the HSGS and FSGS iterative methods.