{"title":"Analytical Solution of a System of Ordinary Differential Equations","authors":"E. Ziada","doi":"10.21608/njbs.2022.277270","DOIUrl":null,"url":null,"abstract":"In this paper, we apply the Adomian decomposition method (ADM) for solving linear and nonlinear system of ordinary differential equations (ODEs). The existence and uniqueness of the solution are proved. The convergence of the series solution and the error analysis are discussed. Some numerical examples are solved.","PeriodicalId":210317,"journal":{"name":"Nile Journal of Basic Science","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nile Journal of Basic Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21608/njbs.2022.277270","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we apply the Adomian decomposition method (ADM) for solving linear and nonlinear system of ordinary differential equations (ODEs). The existence and uniqueness of the solution are proved. The convergence of the series solution and the error analysis are discussed. Some numerical examples are solved.
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