改进的微分变换法对不连续冲击波的求解

Solving Shock Wave With Discontinuity by the Enhanced Differential Transform Method

提出了一种改进的微分变换法,将Padé逼近法与标准微分变换法结合,这种改进的微分变换法主要应用于对冲击波的分析处理方面,能够改善级数的收敛性,并且给出收敛的渐进级数解,甚至精确解,从而为求解强非线性间断问题提供了一种有效的解析方法.

An enhanced differential transform method which introduced the Pade technique into the standard differential transform method was proposed. The enhanced method was applied for the analytic treatment of shock wave. It accelerates the convergence of the series solution and provides the exact power series solution.