Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4967503 | Journal of Computational Physics | 2017 | 18 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Minling Zheng, Fawang Liu, Qingxia Liu, Kevin Burrage, Matthew J. Simpson,