A Stable Numerical Scheme for Fitzhugh-Nagumo Time-Fractional Partial Differential Equation
This research presents a stable numerical scheme for the Fitzhugh-Nagumo time-fractional partial differential equation using finite differences method, and L1-approximation for the fractional operator. The nonlinear term has been treated by Taylor approximation of zero degree. The unconditional stab...
| Main Authors: | , , |
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| Format: | Article |
| Language: | Arabic |
| Published: |
Tishreen University
2021-01-01
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| Series: | مجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية |
| Online Access: | http://www.journal.tishreen.edu.sy/index.php/bassnc/article/view/9001 |
| _version_ | 1797419494338985984 |
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| author | Sami Injrou Suliman Mahmoud Amer Kassem |
| author_facet | Sami Injrou Suliman Mahmoud Amer Kassem |
| author_sort | Sami Injrou |
| collection | DOAJ |
| description | This research presents a stable numerical scheme for the Fitzhugh-Nagumo time-fractional partial differential equation using finite differences method, and L1-approximation for the fractional operator. The nonlinear term has been treated by Taylor approximation of zero degree. The unconditional stability and consistency for the proposed scheme have been theoretically proven, and the convergence have been numerically studied. We provide some experiments and comparisons that supports the theoretical results and shows the efficiency of the proposed scheme.
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| first_indexed | 2024-03-09T06:48:07Z |
| format | Article |
| id | doaj.art-4611f3fd009f415ab1ae5da235fc9ec0 |
| institution | Directory Open Access Journal |
| issn | 2079-3057 2663-4252 |
| language | Arabic |
| last_indexed | 2024-03-09T06:48:07Z |
| publishDate | 2021-01-01 |
| publisher | Tishreen University |
| record_format | Article |
| series | مجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية |
| spelling | doaj.art-4611f3fd009f415ab1ae5da235fc9ec02023-12-03T10:32:00ZaraTishreen Universityمجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية2079-30572663-42522021-01-01414A Stable Numerical Scheme for Fitzhugh-Nagumo Time-Fractional Partial Differential EquationSami InjrouSuliman MahmoudAmer KassemThis research presents a stable numerical scheme for the Fitzhugh-Nagumo time-fractional partial differential equation using finite differences method, and L1-approximation for the fractional operator. The nonlinear term has been treated by Taylor approximation of zero degree. The unconditional stability and consistency for the proposed scheme have been theoretically proven, and the convergence have been numerically studied. We provide some experiments and comparisons that supports the theoretical results and shows the efficiency of the proposed scheme. http://www.journal.tishreen.edu.sy/index.php/bassnc/article/view/9001 |
| spellingShingle | Sami Injrou Suliman Mahmoud Amer Kassem A Stable Numerical Scheme for Fitzhugh-Nagumo Time-Fractional Partial Differential Equation مجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية |
| title | A Stable Numerical Scheme for Fitzhugh-Nagumo Time-Fractional Partial Differential Equation |
| title_full | A Stable Numerical Scheme for Fitzhugh-Nagumo Time-Fractional Partial Differential Equation |
| title_fullStr | A Stable Numerical Scheme for Fitzhugh-Nagumo Time-Fractional Partial Differential Equation |
| title_full_unstemmed | A Stable Numerical Scheme for Fitzhugh-Nagumo Time-Fractional Partial Differential Equation |
| title_short | A Stable Numerical Scheme for Fitzhugh-Nagumo Time-Fractional Partial Differential Equation |
| title_sort | stable numerical scheme for fitzhugh nagumo time fractional partial differential equation |
| url | http://www.journal.tishreen.edu.sy/index.php/bassnc/article/view/9001 |
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