应用RKM和ADM分解方法解一类二阶微分方程

For Solving a Class of Two-order Differential Equations by RKM and ADM Decomposition Method

应用RKM和ADM分解方法求解一类二阶非线性微分方程,该方法避免了求解带有未知参数的非线性方程组,同时给出了收敛性分析,并且用算例加以证明方法的有效性.

In this paper,a class of nonlinear differential equations is solved by RKM and ADM decomposition method,this method avoids the series solution of the equation with unknown parameters. In the mean time,the problem of convergence analysis is also given in this paper. Additionally, some numerical examples are presented to demonstrate the rationality of this algorithm.