Implementation of the 4EGKSOR for Solving One-Dimensional Time-Fractional Parabolic Equations with Grünwald Implicit Difference Scheme

Fatihah Anas Muhiddin, and Jumat Sulaiman, and Andang Sunarto, (2020) Implementation of the 4EGKSOR for Solving One-Dimensional Time-Fractional Parabolic Equations with Grünwald Implicit Difference Scheme. In: 6th International Conference on Computational Science and Technology, ICCST 2019, 29 August 2019 through 30 August 2019, Kota Kinabalu.

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Abstract

Solving one-dimensional time-fractional parabolic equations using numerical technique will require some iterative solver to solve the generated large and sparse linear systems. Thus, by considering the advantages of the Explicit Group iteration technique together with the Kaudd SOR (KSOR) iterative method, this paper examines the efficiency of the four-point Explicit Group Kaudd SOR (4EGKSOR) iterative method to solve the approximation equations generated from discretization of one-dimensional time-fractional parabolic equations using the finite difference scheme with the second order Grünwald Implicit difference scheme. In addition, the formulation and implementation of the proposed method to solve the problem are also presented. Numerical result and comparison with four-point Explicit Group Gauss-Seidel (4EGGS) method are given to illustrate the efficiency of the proposed method.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Efficiency , Finite difference method , Linear systems , Numerical methods , One dimensional , Partial differential equations
Subjects: Q Science > QA Mathematics
Divisions: FACULTY > Faculty of Science and Natural Resources
Depositing User: Noraini
Date Deposited: 19 May 2020 13:23
Last Modified: 19 May 2020 13:23
URI: http://eprints.ums.edu.my/id/eprint/25317

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