科研之友
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摘要
We consider a reaction-diffusion system of 2 x 2 equations modeling the spread of early tumor cells. The existence of weak solutions is ensured by a classical argument of Faedo-Galerkin method. Then, we present a numerical scheme for this model based on a finite volume method. We establish the existence of discrete solutions to this scheme, and we show that it converges to a weak solution. Finally, some numerical simulations are reported with pattern formation examples.
- 出版日期2010-5
