Application of MSOR iteration with newton scheme for solutions of 1D nonlinear porous medium equations
This paper considers Newton-MSOR iterative method for solving 1D nonlinear porous medium equation (PME). The basic concept of proposed iterative method is derived from a combination of one step nonlinear iterative method which known as Newton method with Modified Successive Over Relaxation (MSOR) me...
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| Formaat: | Proceedings |
| Taal: | English English |
| Gepubliceerd in: |
American Institute of Physics Inc.
2016
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| Onderwerpen: | |
| Online toegang: | https://eprints.ums.edu.my/id/eprint/34623/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/34623/2/FULLTEXT.pdf |
| _version_ | 1825715087097200640 |
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| author | Chew, Jackel Vui Lung Jumat Sulaiman |
| author_facet | Chew, Jackel Vui Lung Jumat Sulaiman |
| author_sort | Chew, Jackel Vui Lung |
| collection | UMS |
| description | This paper considers Newton-MSOR iterative method for solving 1D nonlinear porous medium equation (PME). The basic concept of proposed iterative method is derived from a combination of one step nonlinear iterative method which known as Newton method with Modified Successive Over Relaxation (MSOR) method. The reliability of Newton-MSOR to obtain approximate solution for several PME problems is compared with Newton-Gauss-Seidel (Newton-GS) and Newton-Successive Over Relaxation (Newton-SOR). In this paper, the formulation and implementation of these three iterative methods have also been presented. From four examples of PME problems, numerical results showed that Newton- MSOR method requires lesser number of iterations and computational time as compared with Newton-GS and Newton- SOR methods. |
| first_indexed | 2024-03-06T03:21:29Z |
| format | Proceedings |
| id | ums.eprints-34623 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:21:29Z |
| publishDate | 2016 |
| publisher | American Institute of Physics Inc. |
| record_format | dspace |
| spelling | ums.eprints-346232022-10-31T03:04:12Z https://eprints.ums.edu.my/id/eprint/34623/ Application of MSOR iteration with newton scheme for solutions of 1D nonlinear porous medium equations Chew, Jackel Vui Lung Jumat Sulaiman QA1-939 Mathematics This paper considers Newton-MSOR iterative method for solving 1D nonlinear porous medium equation (PME). The basic concept of proposed iterative method is derived from a combination of one step nonlinear iterative method which known as Newton method with Modified Successive Over Relaxation (MSOR) method. The reliability of Newton-MSOR to obtain approximate solution for several PME problems is compared with Newton-Gauss-Seidel (Newton-GS) and Newton-Successive Over Relaxation (Newton-SOR). In this paper, the formulation and implementation of these three iterative methods have also been presented. From four examples of PME problems, numerical results showed that Newton- MSOR method requires lesser number of iterations and computational time as compared with Newton-GS and Newton- SOR methods. American Institute of Physics Inc. 2016-06-02 Proceedings PeerReviewed text en https://eprints.ums.edu.my/id/eprint/34623/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/34623/2/FULLTEXT.pdf Chew, Jackel Vui Lung and Jumat Sulaiman (2016) Application of MSOR iteration with newton scheme for solutions of 1D nonlinear porous medium equations. https://aip.scitation.org/doi/abs/10.1063/1.4952497 https://doi.org/10.1063/1.4952497 |
| spellingShingle | QA1-939 Mathematics Chew, Jackel Vui Lung Jumat Sulaiman Application of MSOR iteration with newton scheme for solutions of 1D nonlinear porous medium equations |
| title | Application of MSOR iteration with newton scheme for solutions of 1D nonlinear porous medium equations |
| title_full | Application of MSOR iteration with newton scheme for solutions of 1D nonlinear porous medium equations |
| title_fullStr | Application of MSOR iteration with newton scheme for solutions of 1D nonlinear porous medium equations |
| title_full_unstemmed | Application of MSOR iteration with newton scheme for solutions of 1D nonlinear porous medium equations |
| title_short | Application of MSOR iteration with newton scheme for solutions of 1D nonlinear porous medium equations |
| title_sort | application of msor iteration with newton scheme for solutions of 1d nonlinear porous medium equations |
| topic | QA1-939 Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/34623/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/34623/2/FULLTEXT.pdf |
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