✨
AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
This equivalence enables us to prove that Taylor collocation method is absolutely stable (A-stable) for the considered equations.
📌 3 Key Takeaways
🎯
Objective & Hypothesis:In this study, we investigate the stability of Taylor collocation method for initial value problems in ordinary differential equations.
📊
Key Findings & Data:Firstly, we try to show that Taylor collocation method for initial value problem is equivalent to a subset of the implicit Runge-Kutta methods.
💡
Conclusion & Impact:This equivalence enables us to prove that Taylor collocation method is absolutely stable (A-stable) for the considered equations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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.
Keywords
🔖
Cite This Article
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://ajindex.com/articles/35093