{"title":"Direct variational solutions for linear dissipative oscillator using Lagrangian with reverse time scales","authors":"V. M. Fatic","doi":"10.1109/MWSCAS.1991.252041","DOIUrl":null,"url":null,"abstract":"A new Lagrangian with reverse time scales is used for direct variational approximation of the solution of a linear dissipative oscillator. Very accurate global approximations are obtained by polynomial test functions of low order. The main goal of the present work is to verify a novel method for variational formulation of dissipative systems. It is. concluded that the new Lagrangian is not only correct, but is also a reliable tool for direct variational solutions of both boundary-value and initial-value problems.<<ETX>>","PeriodicalId":6453,"journal":{"name":"[1991] Proceedings of the 34th Midwest Symposium on Circuits and Systems","volume":"157 1","pages":"295-298 vol.1"},"PeriodicalIF":0.0000,"publicationDate":"1991-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1991] Proceedings of the 34th Midwest Symposium on Circuits and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MWSCAS.1991.252041","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
A new Lagrangian with reverse time scales is used for direct variational approximation of the solution of a linear dissipative oscillator. Very accurate global approximations are obtained by polynomial test functions of low order. The main goal of the present work is to verify a novel method for variational formulation of dissipative systems. It is. concluded that the new Lagrangian is not only correct, but is also a reliable tool for direct variational solutions of both boundary-value and initial-value problems.<>
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