Efficient MATLAB Simulation of the Brusselator
AbstractThe 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.
|Book||Romaniuk Ryszard (eds.): Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2013, vol. 8903, 2013, SPIE P.O. Box 10, Bellingham, Washington 98227-0010 USA , SPIE, ISBN 9780819497857, [ISSN 0277-786X ], 410 p., DOI:10.1117/12.2049644|
|Keywords in English||Brusselator, biochemical oscillator, MATLAB, efficient simulation, nonlinear large system analysis, Partial Differential Equations (PDE), Ordinary Differential Equations (ODE), Iterated Rung-Kutta (IRK) method|
|Score|| = 10.0, 29-08-2020, BookChapterMatConfByIndicator|
= 15.0, 29-08-2020, BookChapterMatConfByIndicator
|Publication indicators||= 1; = 0; = 1.0|
|Citation count*||1 (2020-09-13)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.