Publication Details
Taylor Series Based Solution of Nonlinear-quadratic ODE Systems
Veigend Petr, Ing., Ph.D. (DITS)
Nečasová Gabriela, Ing., Ph.D. (DITS)
Continuous systems, Ordinary dierential 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 Dierential
Equations (ODEs). The research is focused on higher order and variable step size
method based on Taylor series
computation. Taylor series method for solving dierential equations represents
a non-traditional way of a numerical solution.
The effective 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{BUT168458,
author="Václav {Šátek} and Petr {Veigend} and Gabriela {Nečasová}",
title="Taylor Series Based Solution of Nonlinear-quadratic ODE Systems",
booktitle="MATHMOD VIENNA 2018 - 9th Vienna International Conference on Mathematical Modelling",
year="2018",
pages="99--100",
publisher="ARGE Simulation News",
address="Vienna",
doi="10.11128/arep.55",
isbn="978-3-901608-91-9"
}