用非多项式指数样条函数数值解奇异摄动两点边值问题

IF 0.3 Q4 MATHEMATICS, APPLIED Journal of Applied Mathematics Statistics and Informatics Pub Date : 2020-11-05 DOI:10.22457/jmi.v19a11184

Ahmed R. Khlefha

{"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}

引用次数: 0

摘要

本文介绍了非多项式指数样条法在奇异型扰动边值问题数值求解中的应用。通过两个算例说明了该方法的有效性，并证明了该方法能以足够的精度收敛于精确解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Applied Mathematics Statistics and Informatics MATHEMATICS, APPLIED-

自引率

0.00%

发文量

审稿时长

20 weeks