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
Wavelet Method for Solving Nonlinear Partial Differential Equations of Fractional Order
摘要/Abstract
摘要：
考虑一类非线性分数阶偏微分方程的数值解法.Haar小波具有正交性,区域的有界性以及小波函数的可计算性.将Haar小波与算子矩阵思想进行结合,恰当离散初始方程,使非线性分数阶偏微分方程转换为非线性代数方程组,进而可以编程求解,最后,数值算例验证了方法的有效性.
Abstract：
In this paper,we consider the numerical method for a class of nonlinear partial differentialequations of fractional order.The Haar wavelet is known to have a small bottle,orthogonality,and the com-putability of the wavelet function.We combine the Haar wavelet with the operational matrix and then dis-cretize these equations.So the original problem is transformed into a nonlinear system of algebraic equa- tions,which is now solvable by using software.Finally,a numerical example shows that this approach is effective.
关键词
Key words：
nonlinear
;
fractional derivative
;
Haar wavelet
;
operational matrix
;
numerical solution