Walsh function approximation for numerical computation of the 2-dimensional stochastic Brusselator model

The current investigation presents a numerical study of the stochastic Brusselator model, a two-dimensional nonlinear chemical reaction system subject to random fluctuations. The governing model incorporates stochastic perturbations through Wiener processes to simulate the effect of internal noise on oscillatory chemical dynamics. We develop a computational approach based on Walsh function approximation to reduce the nonlinear stochastic integral equation to a system of algebraic equations. The resulting system is then solved numerically using a systematic algorithm tailored to the 2D Brusselator model. Graphical solutions are presented for various parameter values to illustrate the influence of noise on the system’s behavior. Numerical experiments demonstrate the efficiency and accuracy of the suggested method.