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Dergiler / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2020 / Cilt: 10 - Sayı: 2

Qualitative behavior of stiff ODEs through a stochastic approach

Hande USLU
Murat SARİ
Tahir COSGUN
Sayfa
181–187
Yayın Tarihi
2022-10-11
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The produced results have been qualitatively andquantitatively discussed.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the last few decades, stiff differential equations have attracted a great deal ofinterest from academic society, because much of the real life is covered by stiffbehavior.
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Temel Bulgular & Veri:In addition to importance of producing model equations, capturing anexact behavior of the problem by dealing with a solution method is also handlingissue.
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Sonuç & Katkı:The produced results have been qualitatively andquantitatively discussed.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In the last few decades, stiff differential equations have attracted a great deal ofinterest from academic society, because much of the real life is covered by stiffbehavior. In addition to importance of producing model equations, capturing anexact behavior of the problem by dealing with a solution method is also handlingissue. Although there are many explicit and implicit numerical methods for solvingthem, those methods cannot be properly applied due to their computational time,computational error or effort spent for construction of a structure. Therefore,simulation techniques can be taken into account in capturing the stiff behavior. Inthis respect, this study aims at analyzing stiff processes through stochasticapproaches. Thus, a Monte Carlo based algorithm has been presented for solvingsome stiff ordinary differential equations and system of stiff linear ordinarydifferential equations. The produced results have been qualitatively andquantitatively discussed.

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Bu Makaleye Atıf Yap

USLU, H., SARİ, M., COSGUN, T. (2022). Qualitative behavior of stiff ODEs through a stochastic approach. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 10 - Sayı: 2, 181–187. https://ajindex.com/articles/440579

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Kaynakça (13)

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