{"title":"四次b样条下haar小波与Galerkin方法在五阶边值问题近似解中的比较研究","authors":"K. Yadav","doi":"10.37622/ijde/16.1.2021.59-79","DOIUrl":null,"url":null,"abstract":"Wavelet analysis is well developed mathematical tool which can be also applied in numerical analysis. Here application of the Haar wavelet techniques has been discussed for finding numerical solution of fifth-order boundary value problems. Accuracy of the considered technique is demonstrated by means of three numerical examples, taken from well existing research article. Mathematics Subject Classification (2000). 65L10, 65T60.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"115 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Comparative Study of Approximate Solution of Fifth-order Boundary-value Problems by Applying HaarWavelets Technique and Galerkin Method with Quartic B-splines\",\"authors\":\"K. Yadav\",\"doi\":\"10.37622/ijde/16.1.2021.59-79\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Wavelet analysis is well developed mathematical tool which can be also applied in numerical analysis. Here application of the Haar wavelet techniques has been discussed for finding numerical solution of fifth-order boundary value problems. Accuracy of the considered technique is demonstrated by means of three numerical examples, taken from well existing research article. Mathematics Subject Classification (2000). 65L10, 65T60.\",\"PeriodicalId\":36454,\"journal\":{\"name\":\"International Journal of Difference Equations\",\"volume\":\"115 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Difference Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37622/ijde/16.1.2021.59-79\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Difference Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37622/ijde/16.1.2021.59-79","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
A Comparative Study of Approximate Solution of Fifth-order Boundary-value Problems by Applying HaarWavelets Technique and Galerkin Method with Quartic B-splines
Wavelet analysis is well developed mathematical tool which can be also applied in numerical analysis. Here application of the Haar wavelet techniques has been discussed for finding numerical solution of fifth-order boundary value problems. Accuracy of the considered technique is demonstrated by means of three numerical examples, taken from well existing research article. Mathematics Subject Classification (2000). 65L10, 65T60.