Numerical solution of the brusselator model by time splitting method

Sıla Övgü Korkut Uysal; Yeşim Çiçek

doi:10.17776/csj.695738

EN

Numerical solution of the brusselator model by time splitting method

Abstract

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.

Keywords

Thanks

Yazarlar, Editör ve hakemlere, ayırdıkları zaman, anlayışlı yaklaşımları ve çok değerli katkıları için şimdiden teşekkür ediyorlar.

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Sıla Övgü Korkut Uysal ^*
0000-0003-4784-2013
Türkiye

Yeşim Çiçek
0000-0001-5438-4685
Türkiye

Publication Date

March 29, 2021

Submission Date

February 27, 2020

Acceptance Date

December 16, 2020

Published in Issue

Year 2021 Volume: 42 Number: 1

DOI

https://doi.org/10.17776/csj.695738

IZ

https://izlik.org/JA83LR74TL

Cite

RIS / Bibtex

APA

Korkut Uysal, S. Ö., & Çiçek, Y. (2021). Numerical solution of the brusselator model by time splitting method. Cumhuriyet Science Journal, 42(1), 75-87. https://doi.org/10.17776/csj.695738

Cited By

A Stable Hybridized Discontinuous Galerkin Method for Solving Some Nonlinear m$$ m $$‐Component Reaction–Diffusion Systems

Mathematical Methods in the Applied Sciences

https://doi.org/10.1002/mma.11034

Öz

Numerical solution of the brusselator model by time splitting method

Abstract

Keywords

Thanks

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

A Stable Hybridized Discontinuous Galerkin Method for Solving Some Nonlinear m$$ m $$‐Component Reaction–Diffusion Systems