{"title":"应用同伦摄动变换方法求解Lane, Emden和Emden, Fowler方程","authors":"D. Ziane, M. Cherif, K. Belghaba","doi":"10.12816/0019897","DOIUrl":null,"url":null,"abstract":"In this study, we will apply homotopy perturbation transform method (HPTM) to solve Lane-Emden and Emden-Fowler equations and we will also make a comparison between the result obtained by this method and the exact solutions of the same equations presented in other research. The results showed that HPTM has a high eciency and eectiveness in solving these equations and can be applied to other nonlinear partial dierential equations to obtain approximate or exat solutions","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2015-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Application of Homotopy Perturbation Transform Method to Resolve Lane , Emden and Emden , Fowler Equations\",\"authors\":\"D. Ziane, M. Cherif, K. Belghaba\",\"doi\":\"10.12816/0019897\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study, we will apply homotopy perturbation transform method (HPTM) to solve Lane-Emden and Emden-Fowler equations and we will also make a comparison between the result obtained by this method and the exact solutions of the same equations presented in other research. The results showed that HPTM has a high eciency and eectiveness in solving these equations and can be applied to other nonlinear partial dierential equations to obtain approximate or exat solutions\",\"PeriodicalId\":210748,\"journal\":{\"name\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12816/0019897\",\"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 Open Problems in Computer Science and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12816/0019897","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Application of Homotopy Perturbation Transform Method to Resolve Lane , Emden and Emden , Fowler Equations
In this study, we will apply homotopy perturbation transform method (HPTM) to solve Lane-Emden and Emden-Fowler equations and we will also make a comparison between the result obtained by this method and the exact solutions of the same equations presented in other research. The results showed that HPTM has a high eciency and eectiveness in solving these equations and can be applied to other nonlinear partial dierential equations to obtain approximate or exat solutions
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