A generalized operational matrix of mixed partial derivative terms with applications to multi-order fractional partial differential equations

Autor: Imran Talib, Fahd Jarad, Muhammad Umar Mirza, Asma Nawaz, Muhammad Bilal Riaz
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Alexandria Engineering Journal, Vol 61, Iss 1, Pp 135-145 (2022)
Druh dokumentu: article
ISSN: 1110-0168
DOI: 10.1016/j.aej.2021.04.067
Popis: In this paper, a computational approach based on the operational matrices in conjunction with orthogonal shifted Legendre polynomials (OSLPs) is designed to solve numerically the multi-order partial differential equations of fractional order consisting of mixed partial derivative terms. Our computational approach has ability to reduce the fractional problems into a system of Sylvester types matrix equations which can be solved by using MATLAB builtin function lyap(.). The solution is approximated as a basis vectors of OSLPs. The efficiency and the numerical stability is examined by taking various test examples.
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