Noumann边值问题的小波迦辽金解法

Wavelet-Galerkin Method for Neumann Boundary Problem

对一类非线性偏微分方程的Noumann边值问题,先进行时间变量的离散,建立差分格式,然后对每一固定时间层使用小波Galerkin方法,得到线性方程组或代数方程组,从而得到原问题的数值解,最后通过数值例子验证了方法的可行性.

The Neumann boundary value problem of a class of nonlinear partial differential equations was discussed in this paper. For solving the problem, the time variable was discreted first, the difference scheme was established, and then each layer of fixed time was treated by wavelet Galerkin method, so that the difference scheme was transformed into linear equations or algebraic equations.