期刊
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
卷 26, 期 2, 页码 448-479出版社
WILEY
DOI: 10.1002/num.20460
关键词
analytical solution; coupled KdV and Boussinesq-like B(m, n) equations; fractional KdV, K(2,2), Burgers, BBM-Burgers, cubic Boussinesq; fractional partial differential equations (FPDEs); homotopy analysis method (HAM)
In this article, the homotopy analysis method is applied to solve nonlinear fractional partial differential equations. On the basis of the homotopy analysis method, a scheme is developed to obtain the approximate solution of the fractional KdV, K(2,2), Burgers, BBM-Burgers, cubic Boussinesq, Coupled KdV. and Boussinesq-like B(m, n) equations with initial conditions, which are introduced by replacing some integer-order time derivatives by fractional derivatives. The homotopy analysis method for partial differential equations of integer-order is directly extended to derive explicit and numerical Solutions of the fractional partial differential equations. The solutions of the Studied models are calculated in the form of convergent series with easily computable components. The results of applying this procedure to the studied cases show the high accuracy and efficiency of the new technique. (C) 2009 Wiley Periodicals. Inc. Numer Methods Partial Differential Eq 26: 448-479, 2010
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据