We develop 2-grid schemes for solving nonlinear reaction-diffusion systems: where p = (p, q) is an unknown vector-valued function. The schemes use discretizations based on a mixed finite-element method. The 2-grid approach yields iterative procedures for solving the nonlinear discrete equations. Th
The Network Method for Solutions of Oscillating Reaction-Diffusion Systems
✍ Scribed by J. Horno; C.F. González-Fernández; A. Hayas
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 287 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
The network approach is a method whereby physicochemical systems are replaced by electrical networks, which are simulated by using a digital computer program such as PSPICE. The network method solves problems of great mathematical complexity in a versatile and efficient way. This method has been applied to a system involving coupled chemical reactions and diffusion (Brusselator system) as a prototype of an oscillating reaction system. (c) 1995 Acadernic Press, Inc.
📜 SIMILAR VOLUMES
We show that weak L p dissipativity implies strong L dissipativity and therefore implies the existence of global attractors for a general class of reaction diffusion systems. This generalizes the results of Alikakos and Rothe. The results on positive steady states (especially for systems of three eq