{"title":"Study of Stability Criteria of Numerical Solution of Ordinary and Partial Differential Equations Using Euler’s and Finite Difference Scheme","authors":"Najmuddin Ahmad null, Shiv Charan","doi":"10.4208/jpde.v35.n3.6","DOIUrl":null,"url":null,"abstract":". In this paper we have discussed solution and stability analysis of ordinary and partial differential equation with boundary value problem. We investigated pe-riodic stability in Eulers scheme and also discussed PDEs by finite difference scheme. Numerical example has been discussed finding nature of stability. All given result more accurate other than existing methods.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Partial Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4208/jpde.v35.n3.6","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
. In this paper we have discussed solution and stability analysis of ordinary and partial differential equation with boundary value problem. We investigated pe-riodic stability in Eulers scheme and also discussed PDEs by finite difference scheme. Numerical example has been discussed finding nature of stability. All given result more accurate other than existing methods.
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