On spectral numerical method for variable-order partial differential equations

In this research article, we develop a powerful algorithm for numerical solutions to variable-order partial differential equations (PDEs). For the said method, we utilize properties of shifted Legendre polynomials to establish some operational matrices of variable-order differentiation and integrati...

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Bibliographic Details
Main Authors: Kamal Shah, Hafsa Naz, Muhammad Sarwar, Thabet Abdeljawad
Format: Article
Language:English
Published: AIMS Press 2022-03-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022581?viewType=HTML