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## A Note on Stability Analysis of Taylor Collocation Method

#### Sinan Deniz [1] , Necdet Bildik [2] , Mehmet Sezer [3]

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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.

A-stability, ordinary differential equations, Taylor collocation method, Runge-Kutta methods, series solutions
• 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.
Subjects Engineering Articles Author: Sinan Deniz Author: Necdet Bildik Author: Mehmet Sezer
 Bibtex @research article { cbayarfbe302660, journal = {Celal Bayar University Journal of Science}, issn = {1305-130X}, eissn = {1305-1385}, address = {Celal Bayar University}, year = {2017}, volume = {13}, pages = {149 - 153}, doi = {10.18466/cbayarfbe.302660}, title = {A Note on Stability Analysis of Taylor Collocation Method}, key = {cite}, author = {Deniz, Sinan and Bildik, Necdet and Sezer, Mehmet} } APA Deniz, S , Bildik, N , Sezer, M . (2017). A Note on Stability Analysis of Taylor Collocation Method. Celal Bayar University Journal of Science, 13 (1), 149-153. DOI: 10.18466/cbayarfbe.302660 MLA Deniz, S , Bildik, N , Sezer, M . "A Note on Stability Analysis of Taylor Collocation Method". Celal Bayar University Journal of Science 13 (2017): 149-153 Chicago Deniz, S , Bildik, N , Sezer, M . "A Note on Stability Analysis of Taylor Collocation Method". Celal Bayar University Journal of Science 13 (2017): 149-153 RIS TY - JOUR T1 - A Note on Stability Analysis of Taylor Collocation Method AU - Sinan Deniz , Necdet Bildik , Mehmet Sezer Y1 - 2017 PY - 2017 N1 - doi: 10.18466/cbayarfbe.302660 DO - 10.18466/cbayarfbe.302660 T2 - Celal Bayar University Journal of Science JF - Journal JO - JOR SP - 149 EP - 153 VL - 13 IS - 1 SN - 1305-130X-1305-1385 M3 - doi: 10.18466/cbayarfbe.302660 UR - https://doi.org/10.18466/cbayarfbe.302660 Y2 - 2019 ER - EndNote %0 Celal Bayar University Journal of Science A Note on Stability Analysis of Taylor Collocation Method %A Sinan Deniz , Necdet Bildik , Mehmet Sezer %T A Note on Stability Analysis of Taylor Collocation Method %D 2017 %J Celal Bayar University Journal of Science %P 1305-130X-1305-1385 %V 13 %N 1 %R doi: 10.18466/cbayarfbe.302660 %U 10.18466/cbayarfbe.302660 ISNAD Deniz, Sinan , Bildik, Necdet , Sezer, Mehmet . "A Note on Stability Analysis of Taylor Collocation Method". Celal Bayar University Journal of Science 13 / 1 (March 2017): 149-153. https://doi.org/10.18466/cbayarfbe.302660