期刊信息

  • 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
  • 主办: 河北师范大学
  • ISSN: 1000-5854
  • CN: 13-1061/N
  • 中国科技核心期刊
  • 中国期刊方阵入选期刊
  • 中国高校优秀科技期刊
  • 华北优秀期刊
  • 河北省优秀科技期刊

Haar小波求解非线性分数阶偏微分方程

  • 燕山大学理学院, 河北 秦皇岛 066004
  • DOI:

Solving Nonlinear Partial Fractional Differential Equations Using Haar Wavelet

摘要/Abstract

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.

Abstract:

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.