论文标题
通过格林的功能和分解技术求解耦合的车道填充方程
Solving coupled Lane-Emden equations by Green's function and decomposition technique
论文作者
论文摘要
在本文中,提出了绿色的功能和分解技术来求解耦合的车道填充方程。在建立系列解决方案的递归方案之前,这种方法取决于构建Green的功能。与标准的ADOMIAN分解方法不同,本方法避免解决不确定系数的一系列先验方程。提供了收敛性和误差估计。耦合车道方程的三个示例被认为证明了当前算法的准确性。
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.