Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6891810 | Computers & Mathematics with Applications | 2018 | 9 Pages |
Abstract
In this work we prove convergence of the finite difference scheme for equations of stationary states of a general class of the spatial segregation of reaction-diffusion systems with mâ¥2 components. More precisely, we show that the numerical solution uhl, given by the difference scheme, converges to the lth component ul, when the mesh size h tends to zero, provided ulâC2(Ω), for every l=1,2,â¦,m. In particular, our proof provides convergence of a difference scheme for the multi-phase obstacle problem.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Avetik Arakelyan,