Mehmet SEZER, Sinan DENİZ, Necdet BİLDİK

A Note on Stability Analysis of Taylor Collocation Method

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

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