{"title":"一类奇摄动边值问题的样条方法","authors":"O. M. Ogunlaran, O. A. Taiwo","doi":"10.18488/journal.24/2013.2.1/24.1.1.10","DOIUrl":null,"url":null,"abstract":"In this paper, we develop numerical methods based on a non-polynomial spline function with uniform grid for solving certain class of singularly perturbed boundary value problems. The proposed methods are second-order and fourth-order accurate. Numerical examples are provided to demonstrate the efficiency of the proposed methods.","PeriodicalId":355380,"journal":{"name":"International Journal of Mathematical Research","volume":"92 6s1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Spline Methods for a Class of Singularly Perturbed Boundary Value Problems\",\"authors\":\"O. M. Ogunlaran, O. A. Taiwo\",\"doi\":\"10.18488/journal.24/2013.2.1/24.1.1.10\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we develop numerical methods based on a non-polynomial spline function with uniform grid for solving certain class of singularly perturbed boundary value problems. The proposed methods are second-order and fourth-order accurate. Numerical examples are provided to demonstrate the efficiency of the proposed methods.\",\"PeriodicalId\":355380,\"journal\":{\"name\":\"International Journal of Mathematical Research\",\"volume\":\"92 6s1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-03-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mathematical Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18488/journal.24/2013.2.1/24.1.1.10\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematical Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18488/journal.24/2013.2.1/24.1.1.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Spline Methods for a Class of Singularly Perturbed Boundary Value Problems
In this paper, we develop numerical methods based on a non-polynomial spline function with uniform grid for solving certain class of singularly perturbed boundary value problems. The proposed methods are second-order and fourth-order accurate. Numerical examples are provided to demonstrate the efficiency of the proposed methods.
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