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

作　　者：陈一鸣[1] 刘玉风[1] 耿万海[1] 王栋[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《河北师范大学学报（自然科学版）》2012年第3期240-244,共5页Journal of Hebei Normal University：Natural Science

基　　金：河北省自然科学基金(E2009000365)

摘　　要：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.

关 键 词：算子矩阵 HAAR小波 数值解 分数阶偏微分方程 

分 类 号：O241.82[理学—计算数学]