A Note on Stability Analysis of Taylor Collocation Method

Authors : Sinan Deniz, Necdet Bildik, Mehmet Sezer

Pages : 149-153

Doi:10.18466/cbayarfbe.302660

View : 19 | Download : 14

Publication Date : 2017-03-30

Article Type : Research Paper

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