Numerical solution of nonlinear diffusion in one dimensional porous medium using hybrid SOR method
This paper proposes a hybrid successive over-relaxation iterative method for the numerical solution of a nonlinear diffusion in a one-dimensional porous medium. The considered mathematical model is discretized using a computational complexity reduction scheme called half-sweep finite differences. Th...
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| Language: | en en |
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Dept. of Math., Kyungpook Nat’l Univ
2022
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| Online Access: | https://eprints.ums.edu.my/id/eprint/38155/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/38155/2/FULL%20TEXT.pdf https://eprints.ums.edu.my/id/eprint/38155/ https://doi.org/10.5666/KMJ.2022.62.4.699 |
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| author | Jackel Vui Lung Chew Elayaraja Aruchunan Andang Sunarto Jumat Sulaiman |
| author_facet | Jackel Vui Lung Chew Elayaraja Aruchunan Andang Sunarto Jumat Sulaiman |
| author_sort | Jackel Vui Lung Chew |
| building | UMS Library |
| collection | Institutional Repository |
| content_provider | Universiti Malaysia Sabah |
| content_source | UMS Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | This paper proposes a hybrid successive over-relaxation iterative method for the numerical solution of a nonlinear diffusion in a one-dimensional porous medium. The considered mathematical model is discretized using a computational complexity reduction scheme called half-sweep finite differences. The local truncation error and the analysis of the stability of the scheme are discussed. The proposed iterative method, which uses explicit group technique and modified successive over-relaxation, is formulated systematically. This method improves the efficiency of obtaining the solution in terms of total iterations and program elapsed time. The accuracy of the proposed method, which is measured using the magnitude of absolute errors, is promising. Numerical convergence tests of the proposed method are also provided. Some numerical experiments are delivered using initial-boundary value problems to show the superiority of the proposed method against some existing numerical methods. |
| format | Article |
| id | my.ums.eprints-38155 |
| institution | Universiti Malaysia Sabah |
| language | en en |
| publishDate | 2022 |
| publisher | Dept. of Math., Kyungpook Nat’l Univ |
| record_format | eprints |
| spelling | my.ums.eprints-381552024-02-08T07:50:13Z https://eprints.ums.edu.my/id/eprint/38155/ Numerical solution of nonlinear diffusion in one dimensional porous medium using hybrid SOR method Jackel Vui Lung Chew Elayaraja Aruchunan Andang Sunarto Jumat Sulaiman Q1-390 Science (General) QA299.6-433 Analysis This paper proposes a hybrid successive over-relaxation iterative method for the numerical solution of a nonlinear diffusion in a one-dimensional porous medium. The considered mathematical model is discretized using a computational complexity reduction scheme called half-sweep finite differences. The local truncation error and the analysis of the stability of the scheme are discussed. The proposed iterative method, which uses explicit group technique and modified successive over-relaxation, is formulated systematically. This method improves the efficiency of obtaining the solution in terms of total iterations and program elapsed time. The accuracy of the proposed method, which is measured using the magnitude of absolute errors, is promising. Numerical convergence tests of the proposed method are also provided. Some numerical experiments are delivered using initial-boundary value problems to show the superiority of the proposed method against some existing numerical methods. Dept. of Math., Kyungpook Nat’l Univ 2022 Article NonPeerReviewed text en https://eprints.ums.edu.my/id/eprint/38155/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/38155/2/FULL%20TEXT.pdf Jackel Vui Lung Chew and Elayaraja Aruchunan and Andang Sunarto and Jumat Sulaiman (2022) Numerical solution of nonlinear diffusion in one dimensional porous medium using hybrid SOR method. KYUNGPOOK Math. J, 62. pp. 1-15. ISSN 1225-6951 https://doi.org/10.5666/KMJ.2022.62.4.699 |
| spellingShingle | Q1-390 Science (General) QA299.6-433 Analysis Jackel Vui Lung Chew Elayaraja Aruchunan Andang Sunarto Jumat Sulaiman Numerical solution of nonlinear diffusion in one dimensional porous medium using hybrid SOR method |
| title | Numerical solution of nonlinear diffusion in one dimensional porous medium using hybrid SOR method |
| title_full | Numerical solution of nonlinear diffusion in one dimensional porous medium using hybrid SOR method |
| title_fullStr | Numerical solution of nonlinear diffusion in one dimensional porous medium using hybrid SOR method |
| title_full_unstemmed | Numerical solution of nonlinear diffusion in one dimensional porous medium using hybrid SOR method |
| title_short | Numerical solution of nonlinear diffusion in one dimensional porous medium using hybrid SOR method |
| title_sort | numerical solution of nonlinear diffusion in one dimensional porous medium using hybrid sor method |
| topic | Q1-390 Science (General) QA299.6-433 Analysis |
| url | https://eprints.ums.edu.my/id/eprint/38155/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/38155/2/FULL%20TEXT.pdf https://eprints.ums.edu.my/id/eprint/38155/ https://doi.org/10.5666/KMJ.2022.62.4.699 |
| url_provider | http://eprints.ums.edu.my/ |