A Note on Stability Analysis of Taylor Collocation Method
Öz
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
Kaynakça
- Gülsu, M.; Sezer, M. On the solution of the Riccati equation by the Taylor matrix method. Applied Mathematics and Computation. 2006; 176(2), 414-421.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
30 Mart 2017
Gönderilme Tarihi
30 Mart 2017
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2017 Cilt: 13 Sayı: 1
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