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ŠÁTEK, V. KOCINA, F. KUNOVSKÝ, J. SCHIRRER, A.
Original Title
Taylor Series Based Solution of Linear ODE Systems and MATLAB Solvers Comparison
Type
conference paper
Language
English
Original Abstract
The Modern Taylor Series Method (MTSM) is employed here to solve initial value problems of linear ordinary differential equations. An automatic computation of higher Taylor series terms and an efficient, vectorized coding of explicit and implicit schemes enables a very fast computation of the solution to specified accuracy. For a set of benchmark problems from literature, the MTSM significantly outperforms standard solvers. Finally, ideas of parallelizing the MTSM computations are discussed.
Keywords
Ordinary differential equations, Initial value problems, Taylor series, MATLAB
Authors
ŠÁTEK, V.; KOCINA, F.; KUNOVSKÝ, J.; SCHIRRER, A.
RIV year
2015
Released
18. 2. 2015
Publisher
ARGE Simulation News
Location
Vienna
ISBN
978-3-901608-46-9
Book
MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling
Edition
ARGESIM REPORT No. 44
Pages from
693
Pages to
694
Pages count
2
URL
http://www.sciencedirect.com/science/article/pii/S2405896315002116
BibTex
@inproceedings{BUT119809, author="Václav {Šátek} and Filip {Kocina} and Jiří {Kunovský} and Alexander {Schirrer}", title="Taylor Series Based Solution of Linear ODE Systems and MATLAB Solvers Comparison", booktitle="MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling", year="2015", series="ARGESIM REPORT No. 44", pages="693--694", publisher="ARGE Simulation News", address="Vienna", doi="10.1016/j.ifacol.2015.05.210", isbn="978-3-901608-46-9", url="http://www.sciencedirect.com/science/article/pii/S2405896315002116" }