Perturbed Galerkin Method for Solving Integro-Differential Equations

Autor:	K. Issa, J. Biazar, T. O. Agboola, T. Aliu
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Mathematics QA1-939
Zdroj:	Journal of Applied Mathematics, Vol 2022 (2022)
Druh dokumentu:	article
ISSN:	1687-0042
DOI:	10.1155/2022/9748558
Popis:	In this paper, perturbed Galerkin method is proposed to find numerical solution of an integro-differential equations using fourth kind shifted Chebyshev polynomials as basis functions which transform the integro-differential equation into a system of linear equations. The systems of linear equations are then solved to obtain the approximate solution. Examples to justify the effectiveness and accuracy of the method are presented and their numerical results are compared with Galerkin’s method, Taylor’s series method, and Tau’s method which provide validation for the proposed approach. The errors obtained justify the effectiveness and accuracy of the method.
Databáze:	Directory of Open Access Journals
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