An accurate numerical scheme for three-dimensional variable-order time-fractional partial differential equations in two types of space domains

Autor:	Haniye Dehestani, Yadollah Ordokhani, Mohsen Razzaghi
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	discrete shifted Hahn polynomials variable-order Caputo fractional derivative operational matrix three-dimensional partial differential equations Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 29, Iss 3 (2024)
Druh dokumentu:	article
ISSN:	1392-6292 1648-3510
DOI:	10.3846/mma.2024.18535
Popis:	We consider the discretization method for solving three-dimensional variable-order (3D-VO) time-fractional partial differential equations. The proposed method is developed based on discrete shifted Hahn polynomials (DSHPs) and their operational matrices. In the process of method implementation, the modified operational matrix (MOM) and complement vector (CV) of integration and pseudooperational matrix (POM) of VO fractional derivative plays an important role in the accuracy of the method. Further, we discuss the error of the approximate solution. At last, the methodology is validated by well test examples in two types of space domains. In order to evaluate the accuracy and applicability of the approach, the results are compared with other methods.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c8ee95b852004886a3813c9a314c97a0 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF