Solving time-fractional parabolic equations with the four

Fatihah Anas Muhiddin and Jumat Sulaiman and Andang Sunarto (2021) Solving time-fractional parabolic equations with the four. In: International Conference on Computational Science and Technology, ICCST 2020, 29 - 30 August 2020, Pattaya, Thailand.

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Abstract

The goal is to show the usefulness of the 4-point half-sweep EGKSOR (4HSEGKSOR) iterative scheme by implementing the half-sweep approximation equation based on the Grünwald-type fractional derivative and implicit finite difference (IFD) method to solve one-dimensional (1D) time-fractional parabolic equations compared to full-sweep Kaudd Successive over-relaxation (FSKSOR) and halfsweep Kaudd Successive over-relaxation (HSKSOR) methods. The formulation and implementation of the 4HSEGKSOR, HSKSOR and FSKSOR methods are also presented. Some numerical tests were carried out to illustrate that the 4HSEGKSOR method is superior to HSKSOR and FSKSOR methods.

Item Type: Conference or Workshop Item (Lecture)
Uncontrolled Keywords: Grünwald derivative , 4HSEGKSOR iteration , Finite difference method , Time fractional parabolic equation
Subjects: Q Science > QA Mathematics
T Technology > TA Engineering (General). Civil engineering (General)
Divisions: FACULTY > Faculty of Computing and Informatics
Depositing User: DG MASNIAH AHMAD -
Date Deposited: 01 Aug 2021 03:16
Last Modified: 01 Aug 2021 03:16
URI: http://eprints.ums.edu.my/id/eprint/30199

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