{"title":"用积分变换和变分迭代相结合的方法求解Lane-Emden型微分方程","authors":"N. Zomot, O. Ababneh","doi":"10.12988/NADE.2016.613","DOIUrl":null,"url":null,"abstract":"In this paper, we present a reliable combined the modified Sumudu transform and the new modified variational iteration method to solve some nonlinear differential equations of Lane-Emden type. The results of these equations have been find in terms of convergent series with computable components. The nonlinear terms can be handled by using the variational iteration method. This method is efficient and easy to handle such nonlinear differential equations.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Solution of differential equations of Lane-Emden type by combining integral transform and variational iteration method\",\"authors\":\"N. Zomot, O. Ababneh\",\"doi\":\"10.12988/NADE.2016.613\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we present a reliable combined the modified Sumudu transform and the new modified variational iteration method to solve some nonlinear differential equations of Lane-Emden type. The results of these equations have been find in terms of convergent series with computable components. The nonlinear terms can be handled by using the variational iteration method. This method is efficient and easy to handle such nonlinear differential equations.\",\"PeriodicalId\":315586,\"journal\":{\"name\":\"Nonlinear Analysis and Differential Equations\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis and Differential Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/NADE.2016.613\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/NADE.2016.613","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solution of differential equations of Lane-Emden type by combining integral transform and variational iteration method
In this paper, we present a reliable combined the modified Sumudu transform and the new modified variational iteration method to solve some nonlinear differential equations of Lane-Emden type. The results of these equations have been find in terms of convergent series with computable components. The nonlinear terms can be handled by using the variational iteration method. This method is efficient and easy to handle such nonlinear differential equations.