{"title":"Numerical solution of one-dimensional biharmonic equations using Haar wavelets","authors":"Zhi Shi, Julian Han","doi":"10.1109/ICWAPR.2009.5207423","DOIUrl":null,"url":null,"abstract":"In this paper, an operational matrix of integration based on Haar wavelets is introduced, and a procedure for applying the matrix to solve biharmonic equations is formulated. The technique can be used for solving boundary value problems of one-dimensional biharmonic equations. The efficiency of the proposed method is tested with the aid of an example.","PeriodicalId":424264,"journal":{"name":"2009 International Conference on Wavelet Analysis and Pattern Recognition","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Conference on Wavelet Analysis and Pattern Recognition","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICWAPR.2009.5207423","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
In this paper, an operational matrix of integration based on Haar wavelets is introduced, and a procedure for applying the matrix to solve biharmonic equations is formulated. The technique can be used for solving boundary value problems of one-dimensional biharmonic equations. The efficiency of the proposed method is tested with the aid of an example.
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