Hexic-Chebyshev Collocation Method for Solving Distributed-Order Time-Space Fractional Diffusion Equations

Hexic-Chebyshev Collocation Method for Solving Distributed-Order Time-Space Fractional Diffusion Equations

This paper presents a spectral method to solve nonlinear distributed-order diffusion equations with both time-distributed-order and two-sided space-fractional terms. These are highly challenging to solve analytically due to the interplay between nonlinearity and the fractional distributed-order natu...

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Bibliographic Details
Main Authors: Afshin Babaei, Sedigheh Banihashemi, Behrouz Parsa Moghaddam, Arman Dabiri
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Axioms
Subjects:
fractional calculus
Hexic-kind Chebyshev polynomials
distributed-order fractional derivative
two-sided fractional derivative
nonlinear diffusion equation
convergence analysis
Online Access:https://www.mdpi.com/2075-1680/14/7/515
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