摘要
本文给出了一个计算Adomian多项式的新算法,并将其用于求微分方程的近似 解.我们的算法比原有算法效率高,且易于在计算机上实现.我们在Maple中实现了这一 算法,并通过30多个微分方程的求解验证了新算法的有效性.
In this paper, we propose a new algorithm to compute the Adomian polynomials as approximate solutions to differential equations. Our algorithm is much more efficient than the previously known methods and is easy to implement. We implement this new method in Maple. Experimental results from solving more than thirty differential equations with our software show that the new method is quite efficient.
出处
《系统科学与数学》
CSCD
北大核心
2005年第1期18-28,共11页
Journal of Systems Science and Mathematical Sciences
基金
国家973项目"数学机械化与自动推理平台"资助课题
