We present a scheme for solving two-dimensional, nonlinear reaction-diffusion equations, using a mixed finite-element method. To linearize the mixed-method equations, we use a two grid scheme that relegates all the Newton-like iterations to a grid H much coarser than the original one h , with no lo
β¦ LIBER β¦
On Conditions for the Stability of a Two Component Mixed Quasimonotone Reaction Diffusion Equation
β Scribed by E.A. Gaffney
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 102 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
A spatially heterogeneous two component mixed quasimonotone system of reaction diffusion equations is considered. The kinetic functions exhibit mixed quasimonotonicity and are, in general, non-autonomous, while the boundary conditions are given by one of three possibilities: homogeneous Dirichlet, homogeneous Neumann, or Neumann with a constant inhomogeneity. Some conditions which yield the stability of such equations are deduced via comparison theorems and subsequently used to investigate the stability of a simple example system.
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