A Note on Stability Analysis of Taylor Collocation Method
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
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
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
March 30, 2017
Submission Date
March 30, 2017
Acceptance Date
-
Published in Issue
Year 2017 Volume: 13 Number: 1
Cited By
On the Generalisation of $$\hbox {Pade}^{'}$$ Pade ′ Approximation Approach for the Construction of p-Stable Hybrid Linear Multistep Methods
International Journal of Applied and Computational Mathematics
https://doi.org/10.1007/s40819-019-0685-0Galerkin Meshfree Methods: A Review and Mathematical Implementation Aspects
International Journal of Applied and Computational Mathematics
https://doi.org/10.1007/s40819-019-0665-4An algorithm for solving the Burgers–Huxley equation using the Elzaki transform
SN Applied Sciences
https://doi.org/10.1007/s42452-019-1653-3On the stability analysis of the time-fractional variable order Klein-Gordon equation and a numerical simulation
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
https://doi.org/10.31801/cfsuasmas.450209Iterative Perturbation Technique for Solving a Special Magnetohydrodynamics Problem
Celal Bayar Üniversitesi Fen Bilimleri Dergisi
https://doi.org/10.18466/cbayarfbe.630780