An Approximate Solution for the Nonlinear Lane-Emden Type Equation on a Semi-Infinite Domain

被引：0
|
作者：
Marinca, Vasile [1 ]
Herisanu, Nicolae [1 ]
机构：
[1] Politehn Univ Timisoara, Timisoara 300222, Romania
来源：
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B | 2012年 / 1479卷
关键词：
Lane-Emden equation; Optimal Homotopy Asymptotic Method; singular IVPs;
D O I：
10.1063/1.4756675
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Optimal homotopy asymptotic method (OHAM) is proposed and applied to solve a class of singular initial value problems (IVPs), namely the Lane-Emden equation solved by means a Volterra integral equation. The main advantage of this approach consists in that it provides a convenient way to control the convergence of approximate solution in a very rigorous way. The solution obtained using the presented procedure is in a very good agreement with the exact solution, which proves that OHAM is very efficient and accurate.
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收藏
页码：2387 / 2390
页数：4
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