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Implicit difference approximation for the two-dimensional space-time fractional diffusion equation |
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| Authors: | P Zhuang F Liu |
| Institution: | 1. School of Mathematical Sciences, Xiamen University, 361005, Xiamen, China 2. School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, 4001, Brisbane, Qld., Australia 3. School of Mathematical Sciences, South China University of Technology, 510640, Guangzhou, China |
| Abstract: | In this paper, we consider a two-dimensional fractional spacetime diffusion equation (2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the 2DFSTDE. Stability and convergence of the method are discussed. Some numerical examples are presented to show the application of the present technique. |
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