Work

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

Year: 2026

Type: article

Abstract: 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.

Source: Discover Applied Sciences

DOI: 10.1007/s42452-026-09827-z

Authors: Lopamudra Mallik, Prit Pritam Paikaray, Nigam Chandra Parida, Sanghamitra Beuria, Mohammad Izadi

Institutions: Odisha University of Agriculture and Technology, Buxi Jagabandhu Bidyadhar Autonomous College, Shahid Bahonar University of Kerman

Language: English

Topic: stochastic dynamics and bifurcation

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7225343683

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