Numerical solution of variable-order time fractional weakly singular partial integro-differential equations with error estimation
| Autor: | Yadollah Ordokhani, Mohsen Razzaghi, Haniye Dehestani |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
010101 applied mathematics
Legendre-Laguerre functions variable-order fractional partial integro-differential equations Modeling and Simulation QA1-939 010103 numerical & computational mathematics 0101 mathematics pseudo-operational matrix 01 natural sciences weakly singular kernel Mathematics Analysis |
| Zdroj: | Mathematical Modelling and Analysis; Vol 25 No 4 (2020); 680-701 Mathematical Modelling and Analysis, Vol 25, Iss 4 (2020) |
| ISSN: | 1392-6292 1648-3510 |
| Popis: | In this paper, we apply Legendre-Laguerre functions (LLFs) and collocation method to obtain the approximate solution of variable-order time-fractional partial integro-differential equations (VO-TF-PIDEs) with the weakly singular kernel. For this purpose, we derive the pseudo-operational matrices with the use of the transformation matrix. The collocation method and pseudo-operational matrices transfer the problem to a system of algebraic equations. Also, the error analysis of the proposed method is given. We consider several examples to illustrate the proposed method is accurate. |
| Databáze: | OpenAIRE |
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