Implementation of the ksor method for solving one-dimensional time-fractional parabolic partial differential equations with the caputo finite difference scheme title of manuscript

Mohd Usran Alibubin and Jumat Sulaiman and Fatihah Anas Muhiddin and Andang Sunarto (2025) Implementation of the ksor method for solving one-dimensional time-fractional parabolic partial differential equations with the caputo finite difference scheme title of manuscript. Journal of Advanced Research in Applied Sciences and Engineering Technology, 48 (1). pp. 1-12. ISSN 2462-1943

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Abstract

This study presents numerical solution of time-fractional linear parabolic partial differential equations (PDEs) using the Caputo finite difference scheme. The discretization process is based on the second-order implicit finite difference scheme and the Caputo fractional derivative operator. The resulting system of linear approximation equations is solved using the Kaudd Successive Over Relaxation (KSOR) iterative method. A comparison is made with the Gauss-Seidel (GS) iterative method through three numerical examples. The results demonstrate that the KSOR method requires fewer iterations and reduced computational time compared to the GS method.

Item Type:	Article
Keyword:	Caputo finite difference scheme; timefractional parabolic equations; KSOR method
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics Q Science > QA Mathematics > QA1-939 Mathematics > QA299.6-433 Analysis
Department:	FACULTY > Faculty of Science and Natural Resources
Depositing User:	ABDULLAH BIN SABUDIN -
Date Deposited:	18 Nov 2024 09:49
Last Modified:	18 Nov 2024 09:49
URI:	https://eprints.ums.edu.my/id/eprint/41923

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