Detail publikace

Taylor Series Based Solution of Nonlinear-quadratic ODE Systems

ŠÁTEK, V. VEIGEND, P. NEČASOVÁ, G.

Originální název

Taylor Series Based Solution of Nonlinear-quadratic ODE Systems

Typ

článek ve sborníku mimo WoS a Scopus

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

Continuous systems, Ordinary di erential equations, Initial value problems, Taylor series, MATLAB

Autoři

ŠÁTEK, V.; VEIGEND, P.; NEČASOVÁ, G.

Vydáno

23. 2. 2018

Nakladatel

ARGE Simulation News

Místo

Vienna

ISBN

978-3-901608-91-9

Kniha

MATHMOD VIENNA 2018 - 9th Vienna International Conference on Mathematical Modelling

Strany od

99

Strany do

100

Strany počet

2

BibTex

@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"
}