Shifted Chebyshev operational matrices to solve the fractional time-delay diffusion equation

In this paper, Chebyshev operational matrices collocation technique is proposed for solution of variable order derivative within the fractional time-delay diffusion equation. The beginning of this approach is based on the construction of the solution using the shifted Chebyshev polynomials with unkn...

Full description

Saved in:
Bibliographic Details
Published in:Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters 2023-12, Vol.8, p.100538, Article 100538
Main Authors: Farhood, Adnan K., Mohammed, Osama H.
Format: Article
Language:English
Subjects:
Shifted Chebyshev polynomials
Time-delay diffusion equation
Variable-order fractional derivative
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, Chebyshev operational matrices collocation technique is proposed for solution of variable order derivative within the fractional time-delay diffusion equation. The beginning of this approach is based on the construction of the solution using the shifted Chebyshev polynomials with unknown coefficients. After that, we performed the Newton–Cotes nodal points, the Chebyshev polynomials operational matrices, and the collocation method for calculating the unknown coefficients. According to the described technique, we get an algebraic system of nonlinear equations which can be solved easily by using Newton’s iterative method. The efficiency and applicability of suggested approach are illustrated by some tested examples.
ISSN:2666-8181
2666-8181
DOI:10.1016/j.padiff.2023.100538