{"title":"线性微分方程组的HAAR小波数值解","authors":"M. Devi, Seema Sharma, Sunil Rawan","doi":"10.46753/pjaa.2023.v010i01.005","DOIUrl":null,"url":null,"abstract":". In this article, a general procedure of forming the Haar wavelets operational matrix is discussed. The Haar wavelet system which has localization property is applied to find approximate solution to a given system which is very near to the exact solution of the system. We demonstrate this procedure through numerical examples. A comparison of approximate solutions and the exact solutions is done along with the error analysis in order to establish that the Haar wavelet system gives better approximate solutions.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"NUMERICAL SOLUTIONS OF SYSTEM OF LINEAR DIFFERENTIAL EQUATIONS USING HAAR WAVELET APPROACH\",\"authors\":\"M. Devi, Seema Sharma, Sunil Rawan\",\"doi\":\"10.46753/pjaa.2023.v010i01.005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this article, a general procedure of forming the Haar wavelets operational matrix is discussed. The Haar wavelet system which has localization property is applied to find approximate solution to a given system which is very near to the exact solution of the system. We demonstrate this procedure through numerical examples. A comparison of approximate solutions and the exact solutions is done along with the error analysis in order to establish that the Haar wavelet system gives better approximate solutions.\",\"PeriodicalId\":37079,\"journal\":{\"name\":\"Poincare Journal of Analysis and Applications\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Poincare Journal of Analysis and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46753/pjaa.2023.v010i01.005\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Poincare Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46753/pjaa.2023.v010i01.005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
NUMERICAL SOLUTIONS OF SYSTEM OF LINEAR DIFFERENTIAL EQUATIONS USING HAAR WAVELET APPROACH
. In this article, a general procedure of forming the Haar wavelets operational matrix is discussed. The Haar wavelet system which has localization property is applied to find approximate solution to a given system which is very near to the exact solution of the system. We demonstrate this procedure through numerical examples. A comparison of approximate solutions and the exact solutions is done along with the error analysis in order to establish that the Haar wavelet system gives better approximate solutions.
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