A numerical algorithm for computational modelling of coupled advection-diffusion-reaction systems. Issue 3 (8th May 2018)

• Record Type: Journal Article
• Authors: Jiwari, Ram; Tomasiello, Stefania; Tornabene, Francesco
• Is Part Of: Engineering computations. Volume 35:Issue 3(2018)
• Page Start: 1383
• Page End: 1401
• Publication Date: 2018-05-08
• Subjects: Differential quadrature method -- Runge–Kutta method -- Brusselator model -- Coupled advection-diffusion-reaction systems -- Chemo-taxis model; Computer-aided engineering -- Periodicals; Computer graphics -- Periodicals; 620.00285
• DOI: 10.1108/EC-02-2017-0067
• Languages: English
• ISSNs: 0264-4401

Abstract

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.