Haar小波求解非线性分数阶偏微分方程

Solving Nonlinear Partial Fractional Differential Equations Using Haar Wavelet

考虑一类时间-分数阶偏微分方程,将Haar小波与算子矩阵思想有效结合,对已知函数进行恰当的离散,将时间-分数阶偏微分方程转化为矩阵方程,使得计算更简便,并给出数值算例验证了方法的有效性.

A class of time-fractional partial differential equations is considered.The Haar wavelet is effectively associated with the ideas of operator matrix.The function of the known is properly discreted.Let the time-fractional partial differential equations be translated into a matrix equation.So its calculation becomes more convenient,numerical examples are given and the effectiveness of the method is proved.