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Dergiler / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2017 / Cilt: 13 - Sayı: 1

A Note on Stability Analysis of Taylor Collocation Method

Mehmet SEZER
Sinan DENİZ
Necdet BİLDİK
Sayfa
149–153
Yayın Tarihi
2022-10-12
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

This equivalence enables us to prove that Taylor collocation method is absolutely stable (A-stable) for the considered equations

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we investigate the stability of Taylor collocation method for initial value problems in ordinary differential equations.
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Temel Bulgular & Veri:Firstly, we try to show that Taylor collocation method for initial value problem is equivalent to a subset of the implicit Runge-Kutta methods.
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Sonuç & Katkı:This equivalence enables us to prove that Taylor collocation method is absolutely stable (A-stable) for the considered equations
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this study, we investigate the stability of Taylor collocation method for initial value problems in ordinary differential equations. Firstly, we try to show that Taylor collocation method for initial value problem is equivalent to a subset of the implicit Runge-Kutta methods. This equivalence enables us to prove that Taylor collocation method is absolutely stable (A-stable) for the considered equations

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Bu Makaleye Atıf Yap

SEZER, M., DENİZ, S., BİLDİK, N. (2022). A Note on Stability Analysis of Taylor Collocation Method. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 13 - Sayı: 1, 149–153. https://ajindex.com/articles/472308

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Kaynakça (13)

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