𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Optimal solution of a reaction–diffusion system with a control discrete source term

✍ Scribed by A. Araújo; F. Patrício; José L. Santos

Publisher
Wiley (John Wiley & Sons)
Year
2010
Tongue
English
Weight
191 KB
Volume
27
Category
Article
ISSN
2040-7939

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we study the numerical behavior of a reaction-diffusion system with a control source point. The main goal consists in estimating the position of the source point that maximizes a given objective function. To reduce the number of variables involved in the optimization algorithm, we first consider the problem with a fixed source point and then, according to the numerical results obtained, we estimate an approximation to the objective function, adjusting, by least squares, a special class of functions that depend on a few number of parameters. With this procedure we obtain an effective way to define the position of the source term.

📜 SIMILAR VOLUMES

Locally implicit solution of a reaction-
Locally implicit solution of a reaction-diffusion system with stiff kinetics
✍ Desiderio A. Vasquez 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 634 KB

## Abstract The Tyson‐Fife reaction‐diffusion equations are solved numerically using a locally implicit approach. Since the variables evolve at very different time scales, the resulting system of equations is stiff. The reaction term is responsible for the stiffness and the time step is increased b

Global boundedness of solutions to a rea
Global boundedness of solutions to a reaction–diffusion system
✍ SiNing Zheng 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 115 KB 👁 2 views

We obtain in this paper the global boundedness of solutions to a Fujita-type reaction-diffusion system. This global boundedness results from diffusion effect, homogeneous Dirichlet boundary value conditions and appropriate reactions.