用格林函数和分解技术求解耦合的Lane-Emden方程
Solving coupled Lane-Emden equations by Green's function and decomposition technique
摘要：
本文提出了求解耦合Lane-Emden方程的Green函数和分解技术。这种方法依赖于在建立级数解的递归格式之前构造格林函数。与标准Adomian分解方法不同，本方法避免了求解待定系数的一系列超越方程。收敛性和误差估计。耦合Lane-Emden方程的三个例子被认为是证明当前算法的准确性。
英文摘要：
In this paper, the Green's function and decomposition technique is proposed for solving the coupled Lane-Emden equations. This approach depends on constructing Green's function before establishing the recursive scheme for the series solution. Unlike, standard Adomian decomposition method, the present method avoids solving a sequence of transcendental equations for the undetermined coefficients. Convergence and error estimation is provided. Three examples of coupled Lane-Emden equations are considered to demonstrate the accuracy of the current algorithm.
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