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
A-stability ordinary differential equations Taylor collocation method Runge-Kutta methods series solutions
References
- 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.
Abstract
References
- 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.
Details
| Subjects | Engineering |
|---|---|
| Journal Section | Research Article |
| Authors | |
| Publication Date | March 30, 2017 |
| Published in Issue | Year 2017 Volume: 13 Issue: 1 |