{"title":"Solutions of nth Order Initial Value Problems Using Spline Technique","authors":"Xinze Lian, Changsheng Lin","doi":"10.1109/CISE.2009.5365181","DOIUrl":null,"url":null,"abstract":"In this paper, we present a method for solving a kind of arbitrary order linear initial value problems. Based on this method, an algorithm is proposed and fulfilled by numerical and symbolic computations with mechanization in Maple. Finally, some examples are given to illustrate the proposed method. From the results, they show that the proposed method is feasible and efficient. Keywords—splines; initial value problems; differential equa- tions; finite difference methods","PeriodicalId":135441,"journal":{"name":"2009 International Conference on Computational Intelligence and Software Engineering","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Conference on Computational Intelligence and Software Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CISE.2009.5365181","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we present a method for solving a kind of arbitrary order linear initial value problems. Based on this method, an algorithm is proposed and fulfilled by numerical and symbolic computations with mechanization in Maple. Finally, some examples are given to illustrate the proposed method. From the results, they show that the proposed method is feasible and efficient. Keywords—splines; initial value problems; differential equa- tions; finite difference methods
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