Solution of Oregonator Model by Variational Iteration Method

Abstract

The Oregonator model represents the dynamics of the Belousov-Zhabotinsky (BZ) reaction, simplifying it to five species and nonlinear equations. This study uses the Variational Iteration Method (VIM) to solve these equations, examining stability and convergence. It evaluates how changes in the parameter $q$ affect system stability by analyzing equilibrium points through eigenvalues. A numerical comparison shows VIM's effectiveness against the Shooting Method, confirming that VIM offers reliable approximations with good convergence properties. The research highlights VIM's role in computing solutions for nonlinear problems and its relevance for reaction-diffusion models and complex systems in mathematics.