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The Order of Convergence of Difference Schemes for Fractional Equations |
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| Authors: | Ru Liu Miao Li Sergey Piskarev |
| Institution: | 1. College of Information Science and Engineering, Chengdu University, Chengdu, Sichuan, P. R. Chinasrb40305079@163.com;3. Department of Mathematics, Sichuan University, Chengdu, Sichuan, P. R. China;4. Scientific Research Computer Center, Lomonosov Moscow State University, Moscow, Russia |
| Abstract: | In this paper, we continue our research on convergence of difference schemes for fractional differential equations. Using implicit difference scheme and explicit difference scheme, we have a deal with the full discretization of the solutions of fractional differential equations in time variables and get the order of convergence. |
| Keywords: | α-times resolution family discretization methods explicit scheme fractional Cauchy problem implicit scheme |