• 论文 •

### 时间分数阶扩散方程的一个新的高阶数值格式

1. 贵州民族大学理学院, 贵阳, 550025
• 收稿日期:2014-03-20 出版日期:2014-12-15 发布日期:2014-12-08
• 基金资助:

国家自然科学基金(2010CB832702,11426074);贵州省科技厅自然科学基金([2014]2098,[2013]2144);贵州省教育厅([2013]405).

Wang Ziqiang, Cao Junying. A NEW HIGH ORDER NUMERICAL SCHEME TO THE TIME FRACTIONAL DIFFUSION EQUATIONS[J]. Journal of Numerical Methods and Computer Applications, 2014, 35(4): 277-288.

### A NEW HIGH ORDER NUMERICAL SCHEME TO THE TIME FRACTIONAL DIFFUSION EQUATIONS

Wang Ziqiang, Cao Junying

1. College of Science, Guizhou Minzu University, 550025 Guiyang, China
• Received:2014-03-20 Online:2014-12-15 Published:2014-12-08

We investigate the time fractional anomalous diffusion equation on a bounded domain. We propose an efficient method for its numerical solution. This method is based on a finite difference in time and spectral method in space. The numerical examples show the convergence rate is Ot3-α+N-m), where αt,N and m are respectively the order of time fractional derivatives, time step size, the polynomial degree and the regularity of the exact solution.

MR(2010)主题分类:

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