| Haar小波求解非线性分数阶偏微分方程 |
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| 引用本文： | 陈一鸣,刘玉风,耿万海,王栋. Haar小波求解非线性分数阶偏微分方程[J]. 河北师范大学学报(自然科学版), 2012, 36(3): 240-244 |
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| 作者姓名： | 陈一鸣 刘玉风 耿万海 王栋 |
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| 作者单位： | 燕山大学 理学院,河北 秦皇岛,066004 |
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| 基金项目： | 河北省自然科学基金(E2009000365) |
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| 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.
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| 关 键 词： | 算子矩阵 Haar小波 数值解 分数阶偏微分方程 |
Solving Nonlinear Partial Fractional Differential Equations Using Haar Wavelet |
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| CHEN Yiming , LIU Yufeng , GENG Wanhai , WANG Dong. Solving Nonlinear Partial Fractional Differential Equations Using Haar Wavelet[J]. Journal of Hebei Normal University, 2012, 36(3): 240-244 |
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| Authors: | CHEN Yiming LIU Yufeng GENG Wanhai WANG Dong |
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| Affiliation: | (College of Science,Yanshan University,Hebei Qinhuangdao 066004,China) |
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| 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. |
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| Keywords: | operational matrix Haar wavelet numerical solution partial differential equations of fractional order |
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