{"title":"Solving Nonlinear Integral Equations by using Adomian DecompositionMethod","authors":"M. Hasan, A. Matin","doi":"10.4172/2168-9679.1000346","DOIUrl":null,"url":null,"abstract":"In this paper, we propose a numerical method to solve the nonlinear integral equation of the second kind. We intend to approximate the solution of this equation by Adomian decomposition method using He’s polynomials. Several examples are given at the end of this paper with the exact solution is known. Also the error is estimated.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"20 1","pages":"1-5"},"PeriodicalIF":0.0000,"publicationDate":"2017-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Computational Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4172/2168-9679.1000346","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, we propose a numerical method to solve the nonlinear integral equation of the second kind. We intend to approximate the solution of this equation by Adomian decomposition method using He’s polynomials. Several examples are given at the end of this paper with the exact solution is known. Also the error is estimated.
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