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

Autor:	Bachir Dehda, Fares Yazid, Fatima Siham Djeradi, Khaled Zennir, Keltoum Bouhali, Taha Radwan
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	numerical system Haar wavelet collocation method Caputo–Fabrizio fractional derivatives coupled system Mathematics QA1-939
Zdroj:	Symmetry, Vol 16, Iss 6, p 713 (2024)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym16060713
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/6bfda4737eab4de3af9a875c4145487e Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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