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The application of successive overrelaxation method for the solution of linearized half-sweep finite difference approximation to two-dimensional porous medium equation

Successive overrelaxation or S.O.R. method is a widely known parameter-based iterative method that can regulate a large and sparse system of equations so that the number of iterations required to solve the system can be reduced. Many researchers have applied the S.O.R. method to get the solution to...

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Main Authors: Chew, Jackel Vui Lung, Jumat Sulaiman, Andang Sunarto
Format: Proceedings
Language:English
English
Published: IOP Publishing 2021
Subjects:
QA1-43 General
Online Access:https://eprints.ums.edu.my/id/eprint/32518/2/The%20application%20of%20successive%20overrelaxation%20method%20for%20the%20solution%20of%20linearized%20half-sweep%20finite%20difference%20approximation%20to%20two-dimensional%20porous%20medium%20equation.ABSTRACT.pdf
https://eprints.ums.edu.my/id/eprint/32518/1/The%20application%20of%20successive%20overrelaxation%20method%20for%20the%20solution%20of%20linearized%20half-sweep%20finite%20difference%20approximation%20to%20two-dimensional%20porous%20medium%20equation.pdf
https://eprints.ums.edu.my/id/eprint/32518/
https://iopscience.iop.org/article/10.1088/1757-899X/1088/1/012002/pdf
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spelling my.ums.eprints.325182022-05-03T13:10:02Z https://eprints.ums.edu.my/id/eprint/32518/ The application of successive overrelaxation method for the solution of linearized half-sweep finite difference approximation to two-dimensional porous medium equation Chew, Jackel Vui Lung Jumat Sulaiman Andang Sunarto QA1-43 General Successive overrelaxation or S.O.R. method is a widely known parameter-based iterative method that can regulate a large and sparse system of equations so that the number of iterations required to solve the system can be reduced. Many researchers have applied the S.O.R. method to get the solution to the mathematical problem efficiently. This paper extends the application of the S.O.R. method to solve one of the nonlinear partial differential equation, which is the two-dimensional porous medium equation. The S.O.R. method is incorporated into an iterative method that is formulated based on a half-sweep finite difference approximation, and the Newton-type linearization solves the nonlinear term that presents in the equation. The numerical experiment that uses this innovative numerical method to solve several two-dimensional porous medium equation problems shows significant improvement to the percentage of reduction in the number of iterations and computation time. IOP Publishing 2021 Proceedings PeerReviewed text en https://eprints.ums.edu.my/id/eprint/32518/2/The%20application%20of%20successive%20overrelaxation%20method%20for%20the%20solution%20of%20linearized%20half-sweep%20finite%20difference%20approximation%20to%20two-dimensional%20porous%20medium%20equation.ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/32518/1/The%20application%20of%20successive%20overrelaxation%20method%20for%20the%20solution%20of%20linearized%20half-sweep%20finite%20difference%20approximation%20to%20two-dimensional%20porous%20medium%20equation.pdf Chew, Jackel Vui Lung and Jumat Sulaiman and Andang Sunarto (2021) The application of successive overrelaxation method for the solution of linearized half-sweep finite difference approximation to two-dimensional porous medium equation. https://iopscience.iop.org/article/10.1088/1757-899X/1088/1/012002/pdf
institution Universiti Malaysia Sabah
building UMS Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Sabah
content_source UMS Institutional Repository
url_provider http://eprints.ums.edu.my/
language English
English
topic QA1-43 General
spellingShingle QA1-43 General
Chew, Jackel Vui Lung
Jumat Sulaiman
Andang Sunarto
The application of successive overrelaxation method for the solution of linearized half-sweep finite difference approximation to two-dimensional porous medium equation
description Successive overrelaxation or S.O.R. method is a widely known parameter-based iterative method that can regulate a large and sparse system of equations so that the number of iterations required to solve the system can be reduced. Many researchers have applied the S.O.R. method to get the solution to the mathematical problem efficiently. This paper extends the application of the S.O.R. method to solve one of the nonlinear partial differential equation, which is the two-dimensional porous medium equation. The S.O.R. method is incorporated into an iterative method that is formulated based on a half-sweep finite difference approximation, and the Newton-type linearization solves the nonlinear term that presents in the equation. The numerical experiment that uses this innovative numerical method to solve several two-dimensional porous medium equation problems shows significant improvement to the percentage of reduction in the number of iterations and computation time.
format Proceedings
author Chew, Jackel Vui Lung
Jumat Sulaiman
Andang Sunarto
author_facet Chew, Jackel Vui Lung
Jumat Sulaiman
Andang Sunarto
author_sort Chew, Jackel Vui Lung
title The application of successive overrelaxation method for the solution of linearized half-sweep finite difference approximation to two-dimensional porous medium equation
title_short The application of successive overrelaxation method for the solution of linearized half-sweep finite difference approximation to two-dimensional porous medium equation
title_full The application of successive overrelaxation method for the solution of linearized half-sweep finite difference approximation to two-dimensional porous medium equation
title_fullStr The application of successive overrelaxation method for the solution of linearized half-sweep finite difference approximation to two-dimensional porous medium equation
title_full_unstemmed The application of successive overrelaxation method for the solution of linearized half-sweep finite difference approximation to two-dimensional porous medium equation
title_sort application of successive overrelaxation method for the solution of linearized half-sweep finite difference approximation to two-dimensional porous medium equation
publisher IOP Publishing
publishDate 2021
url https://eprints.ums.edu.my/id/eprint/32518/2/The%20application%20of%20successive%20overrelaxation%20method%20for%20the%20solution%20of%20linearized%20half-sweep%20finite%20difference%20approximation%20to%20two-dimensional%20porous%20medium%20equation.ABSTRACT.pdf
https://eprints.ums.edu.my/id/eprint/32518/1/The%20application%20of%20successive%20overrelaxation%20method%20for%20the%20solution%20of%20linearized%20half-sweep%20finite%20difference%20approximation%20to%20two-dimensional%20porous%20medium%20equation.pdf
https://eprints.ums.edu.my/id/eprint/32518/
https://iopscience.iop.org/article/10.1088/1757-899X/1088/1/012002/pdf
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score 13.211869

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