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Application and efficiency evaluation of 4-point newton explicit group to solve 2d porous medium equation

In this paper, a linearized implicit finite difference method is used to approximate the solution of a two-dimensional nonlinear porous medium equation. A large and sparse nonlinear system is iteratively solved using the Newton method and the 4-point explicit group technique. The efficiency of the a...

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Main Authors: J. V. L. Chew, Jumat Sulaiman, A. Sunarto, J. Pradeepkandhasamy
Format: Article
Language:English
English
Published: Lebanese University 2022
Subjects:
QA1-43 General
Online Access:https://eprints.ums.edu.my/id/eprint/33634/1/Application%20and%20efficiency%20evaluation%20of%204-point%20newton%20explicit%20group%20to%20solve%202d%20porous%20medium%20equation.ABSTRACT.pdf
https://eprints.ums.edu.my/id/eprint/33634/2/Application%20and%20efficiency%20evaluation%20of%204-point%20Newton%20explicit%20group%20to%20solve%202D%20porous%20medium%20equation.pdf
https://eprints.ums.edu.my/id/eprint/33634/
http://ijmcs.future-in-tech.net/17.1/R-Chew.pdf
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spelling my.ums.eprints.336342022-08-09T02:08:04Z https://eprints.ums.edu.my/id/eprint/33634/ Application and efficiency evaluation of 4-point newton explicit group to solve 2d porous medium equation J. V. L. Chew Jumat Sulaiman A. Sunarto J. Pradeepkandhasamy QA1-43 General In this paper, a linearized implicit finite difference method is used to approximate the solution of a two-dimensional nonlinear porous medium equation. A large and sparse nonlinear system is iteratively solved using the Newton method and the 4-point explicit group technique. The efficiency of the applied 4-point NEG method is evaluated based on the number of iterations and elapsed time recorded from the simulation with different grid points. The accuracy of the method is measured using the error of absolute of the numerical solution against the exact solution of the proposed problems. A comparative analysis is made using the control method, the Newton-Gauss-Seidel method. The numerical finding showed that the 4-point NEG method is faster than the Newton-Gauss-Seidel method by 36.75%, and the number of iterations is successfully reduced by 45.63%. The accuracy of the 4- point NEG method to solve two-dimensional porous medium equation is better than the Newton-Gauss-Seidel method. Lebanese University 2022 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/33634/1/Application%20and%20efficiency%20evaluation%20of%204-point%20newton%20explicit%20group%20to%20solve%202d%20porous%20medium%20equation.ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/33634/2/Application%20and%20efficiency%20evaluation%20of%204-point%20Newton%20explicit%20group%20to%20solve%202D%20porous%20medium%20equation.pdf J. V. L. Chew and Jumat Sulaiman and A. Sunarto and J. Pradeepkandhasamy (2022) Application and efficiency evaluation of 4-point newton explicit group to solve 2d porous medium equation. International Journal of Mathematics and Computer Science, 17. pp. 499-500. ISSN 1814-0432 http://ijmcs.future-in-tech.net/17.1/R-Chew.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
J. V. L. Chew
Jumat Sulaiman
A. Sunarto
J. Pradeepkandhasamy
Application and efficiency evaluation of 4-point newton explicit group to solve 2d porous medium equation
description In this paper, a linearized implicit finite difference method is used to approximate the solution of a two-dimensional nonlinear porous medium equation. A large and sparse nonlinear system is iteratively solved using the Newton method and the 4-point explicit group technique. The efficiency of the applied 4-point NEG method is evaluated based on the number of iterations and elapsed time recorded from the simulation with different grid points. The accuracy of the method is measured using the error of absolute of the numerical solution against the exact solution of the proposed problems. A comparative analysis is made using the control method, the Newton-Gauss-Seidel method. The numerical finding showed that the 4-point NEG method is faster than the Newton-Gauss-Seidel method by 36.75%, and the number of iterations is successfully reduced by 45.63%. The accuracy of the 4- point NEG method to solve two-dimensional porous medium equation is better than the Newton-Gauss-Seidel method.
format Article
author J. V. L. Chew
Jumat Sulaiman
A. Sunarto
J. Pradeepkandhasamy
author_facet J. V. L. Chew
Jumat Sulaiman
A. Sunarto
J. Pradeepkandhasamy
author_sort J. V. L. Chew
title Application and efficiency evaluation of 4-point newton explicit group to solve 2d porous medium equation
title_short Application and efficiency evaluation of 4-point newton explicit group to solve 2d porous medium equation
title_full Application and efficiency evaluation of 4-point newton explicit group to solve 2d porous medium equation
title_fullStr Application and efficiency evaluation of 4-point newton explicit group to solve 2d porous medium equation
title_full_unstemmed Application and efficiency evaluation of 4-point newton explicit group to solve 2d porous medium equation
title_sort application and efficiency evaluation of 4-point newton explicit group to solve 2d porous medium equation
publisher Lebanese University
publishDate 2022
url https://eprints.ums.edu.my/id/eprint/33634/1/Application%20and%20efficiency%20evaluation%20of%204-point%20newton%20explicit%20group%20to%20solve%202d%20porous%20medium%20equation.ABSTRACT.pdf
https://eprints.ums.edu.my/id/eprint/33634/2/Application%20and%20efficiency%20evaluation%20of%204-point%20Newton%20explicit%20group%20to%20solve%202D%20porous%20medium%20equation.pdf
https://eprints.ums.edu.my/id/eprint/33634/
http://ijmcs.future-in-tech.net/17.1/R-Chew.pdf
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score 13.211869

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