Fibonacci collocation pseudo-spectral method of variable-order space-fractional diffusion equations with error analysis

Fibonacci collocation pseudo-spectral method of variable-order space-fractional diffusion equations with error analysis

In this article, we evaluated the approximate solutions of one-dimensional variable-order space-fractional diffusion equations (sFDEs) by using a collocation method. This method depends on operational matrices for fractional derivatives and the integration of generalized Fibonacci polynomials. In th...

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Bibliographic Details
Main Author: A. S. Mohamed
Format: Article
Language:English
Published: AIMS Press 2022-06-01
Series:AIMS Mathematics
Subjects:
fractional diffusion equation
variable-order fractional equation
collocation method
generalized fibonacci polynomials
convergence analysis
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022789?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022789?viewType=HTML

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