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Moving collocation methods for time fractional differential equations and simulation of blowup |
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| Authors: | MA JingTang & JIANG YingJun School of Economic Mathematics Southwestern University of Finance Economics Chengdu China |
| Institution: | MA JingTang1 & JIANG YingJun2 1School of Economic Mathematics,Southwestern University of Finance and Economics,Chengdu 611130,China,2Department of Mathematics and Scientific Computing,Changsha University of Science and Technology,Changsha 410076 |
| Abstract: | 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. |
| Keywords: | moving collocation methods time fractional differential equations blowup |
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