A new modified compact finite difference scheme for solving the generalized Burgers-Huxley equation in teaching and learning processes
In this study, a new modified scheme based on compact finite difference technique has been proposed for approximate the solution of the generalized Burgers-Huxley equation. The basic idea of compact finite difference scheme is to find the compact approximations to the derivatives terms by manipulati...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2025
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| Online Access: | http://journalarticle.ukm.my/25777/ http://journalarticle.ukm.my/25777/1/195-205%20-.pdf |
| _version_ | 1848816446655692800 |
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| author | Rabi’atul ‘Aisyah Rusli, Mohd Agos Salim Nasir, Nurzalina Harun, Sidik Rathi, Zubaidah Sadikin, |
| author_facet | Rabi’atul ‘Aisyah Rusli, Mohd Agos Salim Nasir, Nurzalina Harun, Sidik Rathi, Zubaidah Sadikin, |
| author_sort | Rabi’atul ‘Aisyah Rusli, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | In this study, a new modified scheme based on compact finite difference technique has been proposed for approximate the solution of the generalized Burgers-Huxley equation. The basic idea of compact finite difference scheme is to find the compact approximations to the derivatives terms by manipulating the governing equation. This basic concept is suitable to be introduced in teaching and learning processes for the Generalized Burgers – Huxley equation. The numerical experiments on the proposed scheme have been conducted and all the computations were carried out by MATLAB R2010a software. The results are compared with analytical solutions and the solution obtained by other researchers. Encouraging results have been obtained. Comparative study shows that the compact finite difference scheme produces better accuracy than the scheme cited in the literature. The compact finite difference scheme exhibits reliable method for solving the generalized Burgers-Huxley equation. |
| first_indexed | 2025-11-15T01:06:00Z |
| format | Article |
| id | oai:generic.eprints.org:25777 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T01:06:00Z |
| publishDate | 2025 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:257772025-08-20T03:05:31Z http://journalarticle.ukm.my/25777/ A new modified compact finite difference scheme for solving the generalized Burgers-Huxley equation in teaching and learning processes Rabi’atul ‘Aisyah Rusli, Mohd Agos Salim Nasir, Nurzalina Harun, Sidik Rathi, Zubaidah Sadikin, In this study, a new modified scheme based on compact finite difference technique has been proposed for approximate the solution of the generalized Burgers-Huxley equation. The basic idea of compact finite difference scheme is to find the compact approximations to the derivatives terms by manipulating the governing equation. This basic concept is suitable to be introduced in teaching and learning processes for the Generalized Burgers – Huxley equation. The numerical experiments on the proposed scheme have been conducted and all the computations were carried out by MATLAB R2010a software. The results are compared with analytical solutions and the solution obtained by other researchers. Encouraging results have been obtained. Comparative study shows that the compact finite difference scheme produces better accuracy than the scheme cited in the literature. The compact finite difference scheme exhibits reliable method for solving the generalized Burgers-Huxley equation. Penerbit Universiti Kebangsaan Malaysia 2025-03 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/25777/1/195-205%20-.pdf Rabi’atul ‘Aisyah Rusli, and Mohd Agos Salim Nasir, and Nurzalina Harun, and Sidik Rathi, and Zubaidah Sadikin, (2025) A new modified compact finite difference scheme for solving the generalized Burgers-Huxley equation in teaching and learning processes. Journal of Quality Measurement and Analysis, 21 (1). pp. 195-205. ISSN 2600-8602 https://www.ukm.my/jqma/ |
| spellingShingle | Rabi’atul ‘Aisyah Rusli, Mohd Agos Salim Nasir, Nurzalina Harun, Sidik Rathi, Zubaidah Sadikin, A new modified compact finite difference scheme for solving the generalized Burgers-Huxley equation in teaching and learning processes |
| title | A new modified compact finite difference scheme for solving the generalized Burgers-Huxley equation in teaching and learning processes |
| title_full | A new modified compact finite difference scheme for solving the generalized Burgers-Huxley equation in teaching and learning processes |
| title_fullStr | A new modified compact finite difference scheme for solving the generalized Burgers-Huxley equation in teaching and learning processes |
| title_full_unstemmed | A new modified compact finite difference scheme for solving the generalized Burgers-Huxley equation in teaching and learning processes |
| title_short | A new modified compact finite difference scheme for solving the generalized Burgers-Huxley equation in teaching and learning processes |
| title_sort | new modified compact finite difference scheme for solving the generalized burgers-huxley equation in teaching and learning processes |
| url | http://journalarticle.ukm.my/25777/ http://journalarticle.ukm.my/25777/ http://journalarticle.ukm.my/25777/1/195-205%20-.pdf |