一种改进的Adomian分解方法

A New Modification of Adomian Decomposition Method

给出了一种新的改进Adomian分解方法,新方法能有效地解决传统Adomian分解方法及其改进方法的不足.将新改进方法应用于第二类Volterra积分方程、积分-微分方程求解,并与传统Adomian分解方法及其改进方法作比较分析,结果表明提出的新改进方法能返回方程精确解析解.

In this paper, we propose a new modification of the Adomian decomposition method, which can overcome the problems arising from the previous decomposition method. The validity and applicability of the new technique are illustrated through several Volterra integral equations and integral-differential equations of the second kind by comparing with the standard decomposition method and the modified decomposition method by Wazwaz. Our new modification can obtain the exact solution of given equations.