𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.

✦ 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


Two-grid methods for mixed finite-elemen
✍ Li Wu; Myron B. Allen 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 423 KB 👁 3 views

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

Global Attractors and Steady State Solut
✍ Le Dung 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 413 KB

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