{"title":"求解Fredholm Volterra高阶变系数积分-微分方程线性系统的Sinc配点法","authors":"","doi":"10.31838/rna/2023.06.01.007","DOIUrl":null,"url":null,"abstract":"In this paper, we have implemented Sinc collocation method (SCM) to solve linear systems of higher order Fredholm Volterra integro–differential equations (FVIDEs) with variable coefficients. This method transforms the system FVIDEs into algebraic equations. Two examples are included to illustrate the accuracy and success of the proposed method. We also point out that, as the number of dimensions increases we get satisfactory results, as explained in the figures and tables","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Sinc collocation method for solving linear systems of Fredholm Volterra integro–differential equations of high order with variable coefficients\",\"authors\":\"\",\"doi\":\"10.31838/rna/2023.06.01.007\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we have implemented Sinc collocation method (SCM) to solve linear systems of higher order Fredholm Volterra integro–differential equations (FVIDEs) with variable coefficients. This method transforms the system FVIDEs into algebraic equations. Two examples are included to illustrate the accuracy and success of the proposed method. We also point out that, as the number of dimensions increases we get satisfactory results, as explained in the figures and tables\",\"PeriodicalId\":36205,\"journal\":{\"name\":\"Results in Nonlinear Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Results in Nonlinear Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31838/rna/2023.06.01.007\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Nonlinear Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31838/rna/2023.06.01.007","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
Sinc collocation method for solving linear systems of Fredholm Volterra integro–differential equations of high order with variable coefficients
In this paper, we have implemented Sinc collocation method (SCM) to solve linear systems of higher order Fredholm Volterra integro–differential equations (FVIDEs) with variable coefficients. This method transforms the system FVIDEs into algebraic equations. Two examples are included to illustrate the accuracy and success of the proposed method. We also point out that, as the number of dimensions increases we get satisfactory results, as explained in the figures and tables