Numerical Solution of the Time-fractional Diffusion Equations via Quarter-sweep Preconditioned Gauss-seidel Method

Andang Sunarto and Jumat Sulaiman and Chew, Jackel Vui Lung (2021) Numerical Solution of the Time-fractional Diffusion Equations via Quarter-sweep Preconditioned Gauss-seidel Method. International Journal of Applied Mathematics, 34. pp. 111-125. ISSN 1311-1728 (P-ISSN) , 1314-8060 (E-ISSN)

	Text Numerical Solution of the Time-fractional Diffusion Equations via Quarter-sweep Preconditioned Gauss-seidel Method.pdf Restricted to Registered users only Download (112kB)
	Text Numerical Solution of the Time-fractional Diffusion Equations via Quarter-sweep Preconditioned Gauss-seidel Method _ABSTRACT.pdf Download (58kB)

URL: https://www.researchgate.net/publication/350432370...

Abstract

In this research, we propose the approximate solution of the time-fractional diffusion equation based on a quarter-sweep implicit finite difference approximation equation. To derive this approximation equation, Caputo's time-fractional derivative has been used to discretize the proposed problems. By using the Caputo finite difference approximation equation, a linear system will be generated and solved iteratively. In addition to that, formulation and implementation the QSPGS iterative method are also presented. Based on the numerical results of the proposed iterative method, it can be concluded that the proposed iterative method is superior to the FSPGS and HSPGS iterative method.

Item Type:	Article
Keyword:	Caputo fractional derivative , Implicit finite-difference , QSPGS method
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics
Department:	FACULTY > Faculty of Computing and Informatics
Depositing User:	SAFRUDIN BIN DARUN -
Date Deposited:	18 May 2022 12:20
Last Modified:	18 May 2022 12:20
URI:	https://eprints.ums.edu.my/id/eprint/32582

Actions (login required)

View Item