Comparative analysis of numerical methods for the multidimensional Brusselator system

Bhatt, Harish (2019) Comparative analysis of numerical methods for the multidimensional Brusselator system. Open Journal of Mathematical Sciences, 3 (1). pp. 262-272. ISSN 26164906

[thumbnail of comparative-analysis-of-numerical-methods-for-the-multidimensional-brusselator-system.pdf] Text
comparative-analysis-of-numerical-methods-for-the-multidimensional-brusselator-system.pdf - Published Version

Download (1MB)

Abstract

This work is concerned with a comparative study of performances of meshfree (radial basis functions) and mesh-based (finite difference) schemes in terms of their accuracy and computational efficiency while solving multi-dimensional initial-boundary value problems governed by a nonlinear time-dependent reaction-diffusion Brusselator system. For computing the approximate solution of the Brusselator system, we use linearly implicit Crank-Nicolson (LICN) scheme, Peaceman-Rachford alternating direction implicit (ADI) scheme and exponential time differencing locally one dimensional (ETD-LOD) scheme as mesh-based schemes and multiquadric radial basis function (MQRBF) as a meshfree scheme. A few numerical results are reported.

Item Type: Article
Subjects: ScienceOpen Library > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 31 Jan 2023 07:16
Last Modified: 12 Aug 2024 11:25
URI: http://scholar.researcherseuropeans.com/id/eprint/418

Actions (login required)

View Item
View Item