✨
Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ 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
🎯
Amaç & Hipotez:In this study, we investigate the stability of Taylor collocation method for initial value problems in ordinary differential equations.
📊
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.
💡
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:A-stability · ordinary differential equations · Taylor collocation method
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.
Anahtar kelimeler
🔖
Bu Makaleye Atıf Yap
Deniz, S., Bildik, N., Sezer, M. (2017). A Note on Stability Analysis of Taylor Collocation Method. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 13 Sayı: 1, 149–153. https://doi.org/10.18466/cbayarfbe.302660