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https://doi.org/10.1016/j.jcp.2017.03.006
Copy DOIJournal: Journal of Computational Physics | Publication Date: Mar 9, 2017 |
Citations: 25 | License type: cc-by-nc-nd |
A fractional reaction–diffusion model with a moving boundary is presented in this paper. An efficient numerical method is constructed to solve this moving boundary problem. Our method makes use of a finite difference approximation for the temporal discretization, and spectral approximation for the spatial discretization. The stability and convergence of the method is studied, and the errors of both the semi-discrete and fully-discrete schemes are derived. Numerical examples, motivated by problems from developmental biology, show a good agreement with the theoretical analysis and illustrate the efficiency of our method.
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