A numerical algorithm for computational modelling of coupled advection-diffusion-reaction systems

Abstract

Purpose

This paper aims to capture the effective behaviour of nonlinear coupled advection-diffusion-reaction systems and develop a new computational scheme based on differential quadrature method.

Design/methodology/approach

The developed scheme converts the coupled system into a system of ordinary differential equations. Finally, the obtained system is solved by a four-stage RK4 scheme.

Findings

The developed scheme helped to capture the different types of patterns of nonlinear time-dependent coupled advection-diffusion-reaction systems such as Brusselator model, Chemo-taxis model and linear model which are similar to the existing patterns of the models.

Originality/value

The originality lies in the fact that the developed scheme is new for coupled advection-diffusion-reaction systems such as Brusselator model, Chemo-taxis model and linear models. Second, the captured pattern is similar to the existing patterns of the models.

Citation

Jiwari, R., Tomasiello, S. and Tornabene, F. (2018), "A numerical algorithm for computational modelling of coupled advection-diffusion-reaction systems", Engineering Computations, Vol. 35 No. 3, pp. 1383-1401. https://doi.org/10.1108/EC-02-2017-0067