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

Araújo A. | Zendy; Patrício F. | Zendy; Santos José L. | Zendy

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

Author(s) -

Araújo A.,

Patrício F.,

Santos José L.

Publication year - 2011

Publication title -

international journal for numerical methods in biomedical engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.741

H-Index - 63

eISSN - 2040-7947

pISSN - 2040-7939

DOI - 10.1002/cnm.1409

Subject(s) - term (time) , position (finance) , mathematical optimization , function (biology) , diffusion , point source , point (geometry) , computer science , class (philosophy) , mathematics , reaction–diffusion system , mathematical analysis , physics , geometry , finance , quantum mechanics , evolutionary biology , artificial intelligence , optics , economics , biology , thermodynamics

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. Copyright © 2010 John Wiley & Sons, Ltd.

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