{"title":"A Weighted Difference Scheme and Calculation of Parabolic Equation","authors":"Yunhui Li, Kun Ge, B. Gui, Min-li Yan","doi":"10.1109/ICIC.2011.33","DOIUrl":null,"url":null,"abstract":"In practical simulations, difference algorithms are often chosen to solve large partial differential equations. In this paper, a new weighted three-implicit difference scheme is constructed for one-dimensional parabolic equation. The truncation error and stability of difference scheme are studied in detail. Numerical results show that the new method is feasible and effective, indeed.","PeriodicalId":6397,"journal":{"name":"2011 Fourth International Conference on Information and Computing","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 Fourth International Conference on Information and Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIC.2011.33","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In practical simulations, difference algorithms are often chosen to solve large partial differential equations. In this paper, a new weighted three-implicit difference scheme is constructed for one-dimensional parabolic equation. The truncation error and stability of difference scheme are studied in detail. Numerical results show that the new method is feasible and effective, indeed.
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