{"title":"A genetic algorithm approach to the solution of a differential equation","authors":"P. MacNeil, S. Schultz","doi":"10.1109/SECON.2010.5453833","DOIUrl":null,"url":null,"abstract":"This paper proposes an approach to solving differential equations by using a genetic algorithm to adjust parameter values in candidate solutions so as to minimize the sum squared error of the differential equation. An example solution is developed for a differential equation representing an electron in the Coulomb potential of two protons. Two measurable parameter values are estimated via this process and compared with published values.","PeriodicalId":286940,"journal":{"name":"Proceedings of the IEEE SoutheastCon 2010 (SoutheastCon)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the IEEE SoutheastCon 2010 (SoutheastCon)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SECON.2010.5453833","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
This paper proposes an approach to solving differential equations by using a genetic algorithm to adjust parameter values in candidate solutions so as to minimize the sum squared error of the differential equation. An example solution is developed for a differential equation representing an electron in the Coulomb potential of two protons. Two measurable parameter values are estimated via this process and compared with published values.
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