Solutions for some integral equations by variation iteration adomain decomposition method

The major aim of this work is to propose a novel method, the Variation Iteration Adomain Decomposition Method (VIADM), an iterative semi-analytical method to achieve an approximate analytical solution for nonlinear (Volterra / Fredholm) integral equations. This technique depends on applying the Adom...

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Bibliographic Details
Published inJournal of interdisciplinary mathematics Vol. 26; no. 7; pp. 1415 - 1420
Main Authors Altaie, Huda Omran, Ali, Adel Rashed A.
Format Journal Article
LanguageEnglish
Published 2023
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Summary:The major aim of this work is to propose a novel method, the Variation Iteration Adomain Decomposition Method (VIADM), an iterative semi-analytical method to achieve an approximate analytical solution for nonlinear (Volterra / Fredholm) integral equations. This technique depends on applying the Adomain Decomposition Method (ADM) to a nonlinear term that can be solved using Adomain polynomials. The VIADM has been used to break down the Volterra integral equation solution into infinite components. Furthermore, some illustrative examples are given, and the results obtained indicate the proposed method’s accuracy, efficiency, and reliability.
ISSN:0972-0502
2169-012X
DOI:10.47974/JIM-1559