ADM-Padé法解fKdV方程

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

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.