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
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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 |
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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 |