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
A-stability ordinary differential equations Taylor collocation method Runge-Kutta methods series solutions
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.
Öz
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
| Konular | Mühendislik |
|---|---|
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 30 Mart 2017 |
| DOI | https://doi.org/10.18466/cbayarfbe.302660 |
| IZ | https://izlik.org/JA48UE52GS |
| Yayımlandığı Sayı | Yıl 2017 Cilt: 13 Sayı: 1 |