{"title":"用配置有理样条函数法近似解Fredholm积分方程","authors":"A. Ramazanov, V. Magomedova","doi":"10.31029/demr.17.2","DOIUrl":null,"url":null,"abstract":"For arbitrary grids of nodes, an approximate solution of the integral equation Fredholm of the second kind in the form of a collocation rational spline function is obtained. Estimates of the rate of uniform convergence of approximate solutions to the exact solution from the smoothness class $C^r$ for $r=0,1,2$ are presented.","PeriodicalId":431345,"journal":{"name":"Daghestan Electronic Mathematical Reports","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the approximate solution of the Fredholm's integral equations by the method of collocation rational spline functions\",\"authors\":\"A. Ramazanov, V. Magomedova\",\"doi\":\"10.31029/demr.17.2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For arbitrary grids of nodes, an approximate solution of the integral equation Fredholm of the second kind in the form of a collocation rational spline function is obtained. Estimates of the rate of uniform convergence of approximate solutions to the exact solution from the smoothness class $C^r$ for $r=0,1,2$ are presented.\",\"PeriodicalId\":431345,\"journal\":{\"name\":\"Daghestan Electronic Mathematical Reports\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Daghestan Electronic Mathematical Reports\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31029/demr.17.2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Daghestan Electronic Mathematical Reports","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31029/demr.17.2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the approximate solution of the Fredholm's integral equations by the method of collocation rational spline functions
For arbitrary grids of nodes, an approximate solution of the integral equation Fredholm of the second kind in the form of a collocation rational spline function is obtained. Estimates of the rate of uniform convergence of approximate solutions to the exact solution from the smoothness class $C^r$ for $r=0,1,2$ are presented.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
