关键词: 流体力学, 再生核空间

Abstract: A new method is presented by means of the theory of reproducing dernel space and finite difference method, to calculate the one-dimensional time-dependent compressible system of Euler Equations that describes a kind of motion law about ideal fluid. The results show that the method has many advantages, such as higher precision, less work and other things than any other methods in that the derived function of reproducing dernel function also is wavelet function simultaneously.

Key words: Hydrodynamics, Reproducing kernel space