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Numerical solution of time-fractional Benjamin-Bona-Mahony-Burgersequation via finite integration method by using Chebyshev expansion |
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| รหัสดีโอไอ | |
| Creator | 1. Ampol Duangpan 2. Ratinan Boonklurb |
| Title | Numerical solution of time-fractional Benjamin-Bona-Mahony-Burgersequation via finite integration method by using Chebyshev expansion |
| Publisher | Research and Development Office,Prince of Songkla University |
| Publication Year | 2021 |
| Journal Title | Songklanakarin Journal of Science and Technology (SJST) |
| Journal Vol. | 43 |
| Journal No. | 3 |
| Page no. | 677-686 |
| Keyword | finite integration method, Chebyshev expansion, time fractional derivative, Benjamin-Bona-Mahony-Burgers equation, Caputo fractional derivative |
| URL Website | https://rdo.psu.ac.th/sjstweb/ |
| ISSN | 0125-3395 |
| Abstract | The finite integration method using Chebyshev polynomial (FIM-CBS) has been proposed in order to overcome thedifficulty of solving linear partial differential equations. In this paper, we develop the FIM-CBS in order to devise a powerfulnumerical algorithm for finding approximate solutions of the nonlinear time-fractional Benjamin-Bona-Mahony-Burgers equationswith the initial and boundary conditions. The time-fractional derivative is in the Caputo sense which is estimated by the forwarddifference quotient. Furthermore, we implement our proposed algorithm via several numerical experiments by comparing theapproximate results obtained by our method and other methods with their analytical solutions. It can be evidence that the developedFIM-CBS algorithm is very effective and efficient with a small number of computational grid points which is discretized by thezeros of Chebyshev polynomial of a certain degree. |
