Publication Details
Taylor Series Based Solution of Nonlinear-quadratic ODE Systems
Veigend Petr, Ing., Ph.D. (DITS FIT BUT)
Nečasová Gabriela, Ing., Ph.D. (DITS FIT BUT)
Continuous systems, Ordinary di erential equations, Initial value problems, Taylor series, MATLAB
The paper deals with possibilities of numerical solution of special type of nonlinear-quadratic systems of Initial Value Problems of Ordinary Di erential Equations (ODEs). The research is focused on higher order and variable step size method based on Taylor series
computation. Taylor series method for solving di erential equations represents a non-traditional way of a numerical solution.
The e ffective implementation of Modern Taylor Series Method (MTSM) in MATLAB software is introduced. The MTSM is based on automatic and recurrent calculation of higher Taylor series terms. The computation time and accuracy of our approach are compared with that of MATLAB ode solvers on a set of nonlinear-quadratic ODE systems coming from real world technical problems.
@INPROCEEDINGS{FITPUB11544,
author = "V\'{a}clav \v{S}\'{a}tek and Petr Veigend and Gabriela Ne\v{c}asov\'{a}",
title = "Taylor Series Based Solution of Nonlinear-quadratic ODE Systems",
pages = "99--100",
booktitle = "MATHMOD VIENNA 2018 - 9th Vienna International Conference on Mathematical Modelling",
year = 2018,
location = "Vienna, AT",
publisher = "ARGE Simulation News",
ISBN = "978-3-901608-91-9",
doi = "10.11128/arep.55",
language = "english",
url = "https://www.fit.vut.cz/research/publication/11544"
}