Numerical solution of variable-order time fractional weakly singular partial integro-differential equations with error estimation

Autor:	Haniye Dehestani, Yadollah Ordokhani, Mohsen Razzaghi
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	variable-order fractional partial integro-differential equations weakly singular kernel Legendre-Laguerre functions pseudo-operational matrix Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 25, Iss 4 (2020)
Druh dokumentu:	article
ISSN:	1392-6292 1648-3510
DOI:	10.3846/mma.2020.11692
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:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/43c829a9038c4d36a56503d2ee02f8d8 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF