用欧拉格式和有限差分格式研究常微分方程和偏微分方程数值解的稳定性判据

Pub Date : 2022-06-01 DOI:10.4208/jpde.v35.n3.6

Najmuddin Ahmad null, Shiv Charan

{"title":"用欧拉格式和有限差分格式研究常微分方程和偏微分方程数值解的稳定性判据","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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2022-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4208/jpde.v35.n3.6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4208/jpde.v35.n3.6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

．本文讨论了带边值问题的常微分方程和偏微分方程的解及其稳定性分析。研究了欧拉格式的周期稳定性，并用有限差分格式讨论了偏微分方程的周期稳定性。讨论了数值算例，找出了稳定性的性质。所得结果比现有方法更准确。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

Study of Stability Criteria of Numerical Solution of Ordinary and Partial Differential Equations Using Euler’s and Finite Difference Scheme

. 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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助