{"title":"求解(1+1)维非线性Boussinesq方程的同伦摄动法和简化微分变换法","authors":"N. Taghizadeh, M. Akbari, M. Shahidi","doi":"10.0000/IJAMC.2013.5.2.393","DOIUrl":null,"url":null,"abstract":"In this paper, we will introduce the homotopy perturbation method (HPM) and the reduced differential transform method (RDTM) for solving (1+1)-dimensional nonlinear Boussinesq equation. The analytical solution of the equation have been obtained in terms of convergent series with easily computable components. The obtained results show that the proposed methods are very powerful and convenient mathematical tool for nonlinear evolution equations in science and engineering.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Homotopy Perturbation Method and Reduced Differential Transform Method for Solving (1+1)-Dimensional Nonlinear Boussinesq Equation\",\"authors\":\"N. Taghizadeh, M. Akbari, M. Shahidi\",\"doi\":\"10.0000/IJAMC.2013.5.2.393\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we will introduce the homotopy perturbation method (HPM) and the reduced differential transform method (RDTM) for solving (1+1)-dimensional nonlinear Boussinesq equation. The analytical solution of the equation have been obtained in terms of convergent series with easily computable components. The obtained results show that the proposed methods are very powerful and convenient mathematical tool for nonlinear evolution equations in science and engineering.\",\"PeriodicalId\":173223,\"journal\":{\"name\":\"International Journal of Applied Mathematics and Computation\",\"volume\":\"9 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-02-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Applied Mathematics and Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.0000/IJAMC.2013.5.2.393\",\"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 Applied Mathematics and Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.0000/IJAMC.2013.5.2.393","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Homotopy Perturbation Method and Reduced Differential Transform Method for Solving (1+1)-Dimensional Nonlinear Boussinesq Equation
In this paper, we will introduce the homotopy perturbation method (HPM) and the reduced differential transform method (RDTM) for solving (1+1)-dimensional nonlinear Boussinesq equation. The analytical solution of the equation have been obtained in terms of convergent series with easily computable components. The obtained results show that the proposed methods are very powerful and convenient mathematical tool for nonlinear evolution equations in science and engineering.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
