{"title":"常微分方程非线性边值问题的数值解法","authors":"A. Manyonge, R. Opiyo, D. Kweyu, J. S. Maremwa","doi":"10.12988/jite.2017.61250","DOIUrl":null,"url":null,"abstract":"Ordinary Differential Equations (ODEs) of the Initial Value Problem (IVP) or Boundary Value Problem (BVP) type can model phenomena in wide range of fields including science, engineering, economics, social science, biology, business, health care among others. Often, systems described by differential equations are so complex that purely analytical solutions of the equations are not tractable. Therefore techniques for solving differential equations based on numerical approximations take centre stage. In this paper we review the shooting method technique as a method of solution to both linear and non-linear BVPs. Mathematics Subject Classification: 65L10","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Numerical solution of non-linear boundary value problems of ordinary differential equations using the shooting technique\",\"authors\":\"A. Manyonge, R. Opiyo, D. Kweyu, J. S. Maremwa\",\"doi\":\"10.12988/jite.2017.61250\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Ordinary Differential Equations (ODEs) of the Initial Value Problem (IVP) or Boundary Value Problem (BVP) type can model phenomena in wide range of fields including science, engineering, economics, social science, biology, business, health care among others. Often, systems described by differential equations are so complex that purely analytical solutions of the equations are not tractable. Therefore techniques for solving differential equations based on numerical approximations take centre stage. In this paper we review the shooting method technique as a method of solution to both linear and non-linear BVPs. Mathematics Subject Classification: 65L10\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2017-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/jite.2017.61250\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/jite.2017.61250","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical solution of non-linear boundary value problems of ordinary differential equations using the shooting technique
Ordinary Differential Equations (ODEs) of the Initial Value Problem (IVP) or Boundary Value Problem (BVP) type can model phenomena in wide range of fields including science, engineering, economics, social science, biology, business, health care among others. Often, systems described by differential equations are so complex that purely analytical solutions of the equations are not tractable. Therefore techniques for solving differential equations based on numerical approximations take centre stage. In this paper we review the shooting method technique as a method of solution to both linear and non-linear BVPs. Mathematics Subject Classification: 65L10
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