文章基本信息

标题：Wavelet-Galerkin Method and Some Numerical Method for Lane-Emden Type Differential Equation
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作者：Jafar Biazar ; Fereshteh Goldoust
期刊名称：American Journal of Applied Mathematics and Statistics
印刷版ISSN：2328-7306
电子版ISSN：2328-7292
出版年度：2013
卷号：1
期号：5
页码：83-86
DOI：10.12691/ajams-1-5-1
语种：English
出版社：Science and Education Publishing
摘要：In this paper, we will compare the performance of Adomian decomposition method and the wavelet-Galerkin method applied to the Lane-Emden type differential equation. The Galerkin Wavelet method (GWM), which is known as a numerical approach is used for the Lane- Emden equation, as an initial value problem. This approach consists of using integral operator, to convert the Lane- Emden equation in to an integral equation, then applying Galerkin Wavelet method to solve the resulted integral equation. The properties of Galerkin Wavelet method (GWM) and the Adomian Decomposition Method are also addressed. Although the Adomian decomposition solution required slightly more computational effort than the wavelet-Galerkin solution, it resulted in more accurate results than the wavelet-Galerkin method. To illustrate the methods two examples are provided and the results are in good agreement with exact solution.
关键词：Galerkin Wavelet; Adomian Decomposition method; Lane-Emden equation; integral equations