ADM-Padé法解fKdV方程  

Solution of the fifth-order KdV equations using the ADM-Padé technique

作　　者：李兰勤[1] 林京[1] 

机构地区：[1]合肥工业大学数学系,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2008年第10期1703-1705,共3页Journal of Hefei University of Technology：Natural Science

摘　　要：ADM-Padé法是Adomian分解法(ADM)与Padé逼近法相结合的一种逼近法,主要用于解非线性偏微分方程的初值问题。文章介绍了Adomian分解法,说明它是如何与Padé逼近法相结合的;利用该逼近法解fKdV方程,得到的逼近解比单独用Adomian分解法得到的逼近解收敛更快且更加准确。The ADM-Padé technique is an approximation method which is a combination of the Adomian decomposition method（ADM）and Padé approximants. It is often used to solve nonlinear partialdifferential equations with the initial condition. In this paper, the fifth-order KdV equation is solved by this technique which gives the approximation solution with faster convergence rate and higher accuracy than using the ADM alone.

关 键 词：ADOMIAN分解法 PADÉ逼近 ADM-Padé法 fKdV方程 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]