Dergiler / Cumhuriyet Science Journal / 2021 / Cilt: 42 - Sayı: 1

Numerical solution of the brusselator model by time splitting method

Sayfa
75–87
Yayın Tarihi
2022-10-12
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The accuracy of the presented method is also tested on numerical examples and all theoretical results are supported by the tables and figures.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:One of the significant models in chemical reactions with oscillations is the Brusselator model.
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Temel Bulgular & Veri:This model essentially describes a nonlinear reaction-diffusion equation.
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Sonuç & Katkı:The accuracy of the presented method is also tested on numerical examples and all theoretical results are supported by the tables and figures.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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.

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Bu Makaleye Atıf Yap

KORKUT, S. Ö., ÇİÇEK, Y. (2022). Numerical solution of the brusselator model by time splitting method. Cumhuriyet Science Journal, Cilt: 42 - Sayı: 1, 75–87. https://ajindex.com/articles/477531

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Kaynakça (1)

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