Fractional newton explicit group method for time-fractional nonlinear porous medium equations
This paper presents a fractional Newton explicit group method to solve time-fractional nonlinear porous medium equations. The presented method utilizes implicit finite difference schemes with the Caputo time-fractional derivative operator. This paper aims to evaluate the accuracy and efficiency of t...
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| Format: | Article |
| Language: | English English |
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Natural Sciences Publishing Cor.
2024
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| Online Access: | https://eprints.ums.edu.my/id/eprint/41929/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/41929/2/FULL%20TEXT.pdf |
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| author | Vui, Jackel Lung Chew Andang Sunarto Jumat Sulaiman Mohammad Fadhli Asli |
| author_facet | Vui, Jackel Lung Chew Andang Sunarto Jumat Sulaiman Mohammad Fadhli Asli |
| author_sort | Vui, Jackel Lung Chew |
| collection | UMS |
| description | This paper presents a fractional Newton explicit group method to solve time-fractional nonlinear porous medium equations. The presented method utilizes implicit finite difference schemes with the Caputo time-fractional derivative operator. This paper aims to evaluate the accuracy and efficiency of the proposed method in solving initial boundary value problems of porous medium equations at different orders of time-fractional derivatives. The method is experimented repeatedly by using several large systems of equations to illustrate the consistency of the method’s performance. In addition, the method is also experimented in solving some physics problems, which can show the method’s efficacy in solving realistic phenomena. |
| first_indexed | 2024-12-09T00:53:58Z |
| format | Article |
| id | ums.eprints-41929 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-12-09T00:53:58Z |
| publishDate | 2024 |
| publisher | Natural Sciences Publishing Cor. |
| record_format | dspace |
| spelling | ums.eprints-419292024-11-18T03:15:20Z https://eprints.ums.edu.my/id/eprint/41929/ Fractional newton explicit group method for time-fractional nonlinear porous medium equations Vui, Jackel Lung Chew Andang Sunarto Jumat Sulaiman Mohammad Fadhli Asli QA299.6-433 Analysis QA75.5-76.95 Electronic computers. Computer science This paper presents a fractional Newton explicit group method to solve time-fractional nonlinear porous medium equations. The presented method utilizes implicit finite difference schemes with the Caputo time-fractional derivative operator. This paper aims to evaluate the accuracy and efficiency of the proposed method in solving initial boundary value problems of porous medium equations at different orders of time-fractional derivatives. The method is experimented repeatedly by using several large systems of equations to illustrate the consistency of the method’s performance. In addition, the method is also experimented in solving some physics problems, which can show the method’s efficacy in solving realistic phenomena. Natural Sciences Publishing Cor. 2024 Article NonPeerReviewed text en https://eprints.ums.edu.my/id/eprint/41929/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/41929/2/FULL%20TEXT.pdf Vui, Jackel Lung Chew and Andang Sunarto and Jumat Sulaiman and Mohammad Fadhli Asli (2024) Fractional newton explicit group method for time-fractional nonlinear porous medium equations. Progress in Fractional Differentiation and Applications An International Journal, 10 (3). pp. 391-398. ISSN 2356-9336 http://dx.doi.org/10.18576/pfda/100305 |
| spellingShingle | QA299.6-433 Analysis QA75.5-76.95 Electronic computers. Computer science Vui, Jackel Lung Chew Andang Sunarto Jumat Sulaiman Mohammad Fadhli Asli Fractional newton explicit group method for time-fractional nonlinear porous medium equations |
| title | Fractional newton explicit group method for time-fractional nonlinear porous medium equations |
| title_full | Fractional newton explicit group method for time-fractional nonlinear porous medium equations |
| title_fullStr | Fractional newton explicit group method for time-fractional nonlinear porous medium equations |
| title_full_unstemmed | Fractional newton explicit group method for time-fractional nonlinear porous medium equations |
| title_short | Fractional newton explicit group method for time-fractional nonlinear porous medium equations |
| title_sort | fractional newton explicit group method for time fractional nonlinear porous medium equations |
| topic | QA299.6-433 Analysis QA75.5-76.95 Electronic computers. Computer science |
| url | https://eprints.ums.edu.my/id/eprint/41929/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/41929/2/FULL%20TEXT.pdf |
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