Moving collocation methods for time fractional differential equations and simulation of blowup

被引：0
|
作者：
JingTang Ma
YingJun Jiang
机构：
[1] Southwestern University of Finance and Economics,School of Economic Mathematics
[2] Changsha University of Science and Technology,Department of Mathematics and Scientific Computing
来源：
Science China Mathematics | 2011年 / 54卷
关键词：
moving collocation methods; time fractional differential equations; blowup; 26A33; 65R20; 65M70; 65M50; 35K55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A moving collocation method is proposed and implemented to solve time fractional differential equations. The method is derived by writing the fractional differential equation into a form of time difference equation. The method is stable and has a third-order convergence in space and first-order convergence in time for either linear or nonlinear equations. In addition, the method is used to simulate the blowup in the nonlinear equations.
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页码：611 / 622
页数：11
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