{"title":"Numerical simulation of Burgers’ equations via quartic HB-spline DQM","authors":"Mamta Kapoor","doi":"10.1515/nleng-2022-0264","DOIUrl":null,"url":null,"abstract":"Abstract Via modified quartic hyperbolic B-spline DQM, Burgers’ equation is numerically approximated in the current study. Ten numerical instances are discussed, and the findings are compared with those already in existence and with exact results. Error norms are assessed, and findings are shown in tabular as well as graphical formats, to validate the resilience and applicability portion of established numerical system. Matrix stability analysis approach is used to discuss proposed scheme’s stability. The current plan is robust, precise, and simple to put into action.","PeriodicalId":37863,"journal":{"name":"Nonlinear Engineering - Modeling and Application","volume":null,"pages":null},"PeriodicalIF":2.4000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Engineering - Modeling and Application","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/nleng-2022-0264","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract Via modified quartic hyperbolic B-spline DQM, Burgers’ equation is numerically approximated in the current study. Ten numerical instances are discussed, and the findings are compared with those already in existence and with exact results. Error norms are assessed, and findings are shown in tabular as well as graphical formats, to validate the resilience and applicability portion of established numerical system. Matrix stability analysis approach is used to discuss proposed scheme’s stability. The current plan is robust, precise, and simple to put into action.
期刊介绍：
The Journal of Nonlinear Engineering aims to be a platform for sharing original research results in theoretical, experimental, practical, and applied nonlinear phenomena within engineering. It serves as a forum to exchange ideas and applications of nonlinear problems across various engineering disciplines. Articles are considered for publication if they explore nonlinearities in engineering systems, offering realistic mathematical modeling, utilizing nonlinearity for new designs, stabilizing systems, understanding system behavior through nonlinearity, optimizing systems based on nonlinear interactions, and developing algorithms to harness and leverage nonlinear elements.
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