An efficient algorithm for solving the conformable time-space fractional telegraph equations
In this paper, an efficient algorithm is proposed for solving one dimensional time-space-fractional telegraph equations. The fractional derivatives are described in the conformable sense. This algorithm is based on shifted Chebyshev polynomials of the fourth kind. The time-space fractional telegraph...
| 主要な著者: | , |
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| フォーマット: | 論文 |
| 言語: | English |
| 出版事項: |
Sciendo
2021-09-01
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| シリーズ: | Moroccan Journal of Pure and Applied Analysis |
| 主題: | |
| オンライン･アクセス: | https://doi.org/10.2478/mjpaa-2021-0028 |
| 要約: | In this paper, an efficient algorithm is proposed for solving one dimensional time-space-fractional telegraph equations. The fractional derivatives are described in the conformable sense. This algorithm is based on shifted Chebyshev polynomials of the fourth kind. The time-space fractional telegraph equations is reduced to a linear system of second order differential equations and the Newmark’s method is applied to solve this system. Finally, some numerical examples are presented to confirm the reliability and effectiveness of this algorithm. |
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| ISSN: | 2351-8227 |