{"title":"用非多项式指数样条函数数值解奇异摄动两点边值问题","authors":"Ahmed R. Khlefha","doi":"10.22457/jmi.v19a11184","DOIUrl":null,"url":null,"abstract":"This paper presents the application of non-polynomi al Exponential spline method for finding the numerical solution of singularly pe rturbed boundary value problems. Two numerical examples are considered to demonstrate th e usefulness of the method and to show that the method converges with sufficient accu ra y to the exact solutions.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"19 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2020-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical Solution of Singularly Perturbed Two Point Boundary Value Problems by Using Non-Polynomial Exponential Spline Functions\",\"authors\":\"Ahmed R. Khlefha\",\"doi\":\"10.22457/jmi.v19a11184\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents the application of non-polynomi al Exponential spline method for finding the numerical solution of singularly pe rturbed boundary value problems. Two numerical examples are considered to demonstrate th e usefulness of the method and to show that the method converges with sufficient accu ra y to the exact solutions.\",\"PeriodicalId\":43016,\"journal\":{\"name\":\"Journal of Applied Mathematics Statistics and Informatics\",\"volume\":\"19 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2020-11-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied Mathematics Statistics and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22457/jmi.v19a11184\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics Statistics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22457/jmi.v19a11184","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Numerical Solution of Singularly Perturbed Two Point Boundary Value Problems by Using Non-Polynomial Exponential Spline Functions
This paper presents the application of non-polynomi al Exponential spline method for finding the numerical solution of singularly pe rturbed boundary value problems. Two numerical examples are considered to demonstrate th e usefulness of the method and to show that the method converges with sufficient accu ra y to the exact solutions.