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Monotone methods for a finite difference system of reaction diffusion equation with time delay

✍ Scribed by C.V. Pao

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
650 KB
Volume
36
Category
Article
ISSN
0898-1221

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✦ Synopsis

The aim of thla paper is to present some monotone iterative schemes for computing the solution of a system of nonlinear difference equations which arme from a clam of nonlinear reactiondiffusion equations with time delays. The iterative schemes lead to computational algorithms as well as existence, uniquenem, and upper and lower bounds of the solution. An application to a diffusive logistic equation with time delay is given. (~ 1998 Elsevier Science Ltd. All rights reserved.

Keywords--Finite difference equations, Reaction-diffusion, Time delay, Monotone iterations, Upper and lower bounds. U* * u* =-( o,n,'", UM,n) of (4.3). Numerical results for some similar diffusive logistic models (with or without time delay) has been given in [4,12,15].

📜 SIMILAR VOLUMES

Monotone iterations for numerical soluti
Monotone iterations for numerical solutions of reaction-diffusion-convection equations with time delay
✍ C. V. Pao 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 375 KB 👁 2 views

In this article we use the monotone method for the computation of numerical solutions of a nonlinear reactiondiffusion-convection problem with time delay. Three monotone iteration processes for a suitably formulated finite-difference system of the problem are presented. It is shown that the sequence