Numerical Approach Based on the Haar Wavelet Collocation Method for Solving a Coupled System with the Caputo–Fabrizio Fractional Derivative-Reference-Cited by-同舟云学术

Numerical Approach Based on the Haar Wavelet Collocation Method for Solving a Coupled System with the Caputo–Fabrizio Fractional Derivative

Published:2024-06-08 Issue:6 Volume:16 Page:713
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Dehda Bachir¹,Yazid Fares²^ORCID,Djeradi Fatima Siham²,Zennir Khaled³⁴^ORCID,Bouhali Keltoum³,Radwan Taha⁵⁶^ORCID

Affiliation:

1. Laboratory of Operator Theory and PDE: Foundations and Applications, University of El Oued, El Oued 39000, Algeria

2. Laboratory of Pure and Applied Mathematics, Amar Telidji University, Laghouat 03000, Algeria

3. Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia

4. Department of Mathematics, Faculty of Sciences, University of 20 Aôut 1955, Skikda 21000, Algeria

5. Department of Management Information Systems, College of Business and Economics, Qassim University, Buraydah 51452, Saudi Arabia

6. Department of Mathematics and Statistics, Faculty of Management Technology and Information Systems, Port Said University, Port Said 42511, Egypt

Abstract

In the present paper, we consider an effective computational method to analyze a coupled dynamical system with Caputo–Fabrizio fractional derivative. The method is based on expanding the approximate solution into a symmetry Haar wavelet basis. The Haar wavelet coefficients are obtained by using the collocation points to solve an algebraic system of equations in mathematical physics. The error analysis of this method is characterized by a good convergence rate. Finally, some numerical examples are presented to prove the accuracy and effectiveness of this method.

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/6/713/pdf

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