利用改进的Adomian分解方法求解非线性方程(英文)

Modified Adomian Decomposition Method for Nonlinear Equations

介绍一种基于Adomian分解算法的求解非线性方程f(x)=0的方法,主要的改进工作在于Adomian多项式的计算,改进后的算法比传统的算法更简单、有效,而且易于在计算机上实现。通过了两个算例对改进的与传统的算法进行了比较。

A new method based on modified Adomian decomposition method is introduced for solution of nonlinear equation f（x） = 0 and applied a new algorithm to compute the Adomian polynomials. Algorithm is much more efficient than standard Adomian decomposition method and is easy to implement. This new method is implemented in Matlab. Two examples are presented and compared using standard and modified Adomian deomposition method.