Numerical solution of the brusselator model by time splitting method
| Autor: | Yeşim Çiçek, Sıla Övgü Korkut Uysal |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Local error analysis
Brusselator model Splitting method Non-linear partial differential equation Reaction-Diffusion equation Physics local error analysis Matematik General Medicine brusselator model Brusselator lcsh:TA1-2040 splitting method Reaction–diffusion system Applied mathematics non-linear partial differential equation reaction-diffusion equation lcsh:Q lcsh:Engineering (General). Civil engineering (General) lcsh:Science lcsh:Science (General) Mathematics lcsh:Q1-390 |
| Zdroj: | Cumhuriyet Science Journal, Vol 42, Iss 1, Pp 75-87 (2021) Volume: 42, Issue: 1 75-87 Cumhuriyet Science Journal |
| ISSN: | 2587-2680 2587-246X |
| Popis: | One of the significant models in chemical reactions with oscillations is the Brusselator model. This model essentially describes a nonlinear reaction-diffusion equation. Brusselator system arises in applications of many physical and chemical models. In this study, the Brusselator model is solved numerically with the help of a time-splitting method. Consistency and stability of the method are proved with the help of auxiliary lemmas. Additionally, the positivity preservation of the method is analyzed. The accuracy of the presented method is also tested on numerical examples and all theoretical results are supported by the tables and figures. |
| Databáze: | OpenAIRE |
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