Quasi-wavelet method for time-dependent fractional partial differential equation
Quasi-wavelet method for time-dependent fractional partial differential equation
复制标题
时变分数阶偏微分方程的拟小波方法
DOI：
10.1080/00207160.2013.786050
复制
发表时间：
2013-11
影响因子：
1.8
通讯作者：
Han, Xuli
中科院分区：
文献类型：
--
作者：
Zhang, Haixiang;Han, Xuli
In this decade, many new applications in engineering and science are governed by a series of fractional partial differential equations. In this paper, we propose a novel numerical method for a class of time-dependent fractional partial differential equations. The time variable is discretized by using the second order backward differentiation formula scheme, and the quasi-wavelet method is used for spatial discretization. The stability and convergence properties related to the time discretization are discussed and theoretically proven. Numerical examples are obtained to investigate the accuracy and efficiency of the proposed method. The comparisons of the present numerical results with the exact analytical solutions show that the quasi-wavelet method has distinctive local property and can achieve accurate results.
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