| Autor: |
Ihteram Ali, Sirajul Haq, Manzoor Hussain, Kottakkaran Sooppy Nisar, Shams Ul Arifeen |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Results in Physics, Vol 56, Iss , Pp 107222- (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2211-3797 |
| DOI: |
10.1016/j.rinp.2023.107222 |
| Popis: |
In this paper, we propose and analyze a novel spectral scheme for the numerical solution of a two-dimensional time-fractional diffusion equation. The proposed scheme approximates the unknown function and its derivatives in space by finite Lucas and Fibonacci polynomial expansion, and time derivative/variable by L1 formula with θ-weighted difference scheme. Error estimates are derived and convergence is proved. Six test problems are then solved to verify the theory numerically. The obtained results confirm the low computational cost and better accuracy than known results in the literature. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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