Efficient MATLAB simulation of the brusselator

Katarzyna Opalska

doi:10.1117/12.2035279

25 October 2013 Efficient MATLAB simulation of the brusselator

Katarzyna Opalska

Proceedings Volume 8903, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2013; 89031U (2013) https://doi.org/10.1117/12.2035279
Event: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2013, 2013, Wilga, Poland

Abstract

The paper presents the results of the simulation of the brusselator performed in the MATLAB environment. The brusselator is a kind of a chemical oscillating system (with periodically changing concentrations of reactants and the possibility of self-organizing), described by the Partial Differential Equation (PDE) system. The brusselator is analyzed by solving a set Ordinary Differential Equation (ODE) obtained by the space discretization of the original PDE. The resulting ODE system is huge (the better accuracy expected, the more dense discretization and the larger ODE set), so its solving is a highly time-consuming task. This paper illustrates solving brusselator equations by means of the generic mathematical software (MATLAB), using both built-in integrating algorithms, as well as the dedicated iterated integration scheme, with the focus on the efficiency of the simulation.

Citation Download Citation

Katarzyna Opalska "Efficient MATLAB simulation of the brusselator", Proc. SPIE 8903, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2013, 89031U (25 October 2013); https://doi.org/10.1117/12.2035279

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