Detail publikace

Taylor Series Based Computation and MATLAB ODE Solvers Comparison

Originální název

Taylor Series Based Computation and MATLAB ODE Solvers Comparison

Anglický název

Taylor Series Based Computation and MATLAB ODE Solvers Comparison

Jazyk

en

Originální abstrakt

The paper deals with possibilities of numerical solution of Ordinary Differential Equations (ODEs) - Initial Value Problems using Taylor series methods with automatic computation of higher Taylor series terms. The explicit and implicit scheme of Taylor series method is compared with numerical solvers implemented in MATLAB software. The computation time and accuracy is compared on the set of ODEs test examples [article - Comparing numerical methods for ordinary differential equations. SIAM and article - Two FORTRAN Packages for Assessing Initial Value Methods].

Anglický abstrakt

The paper deals with possibilities of numerical solution of Ordinary Differential Equations (ODEs) - Initial Value Problems using Taylor series methods with automatic computation of higher Taylor series terms. The explicit and implicit scheme of Taylor series method is compared with numerical solvers implemented in MATLAB software. The computation time and accuracy is compared on the set of ODEs test examples [article - Comparing numerical methods for ordinary differential equations. SIAM and article - Two FORTRAN Packages for Assessing Initial Value Methods].

BibTex


@inproceedings{BUT105968,
  author="Václav {Šátek} and Jiří {Kunovský} and Filip {Kocina} and Jan {Chaloupka}",
  title="Taylor Series Based Computation and MATLAB ODE Solvers Comparison",
  annote="The paper deals with possibilities of numerical solution of Ordinary Differential
Equations (ODEs) - Initial Value Problems using Taylor series methods with
automatic computation of higher Taylor series terms.
The explicit and implicit scheme of Taylor series method is compared with
numerical solvers implemented in MATLAB software. The computation time and
accuracy is compared on the set of ODEs test examples [article - Comparing
numerical methods for ordinary differential equations. SIAM and article - Two
FORTRAN Packages for Assessing Initial Value Methods].",
  address="American Institute of Physics",
  booktitle="Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics",
  chapter="105968",
  doi="10.1063/1.4825997",
  edition="NEUVEDEN",
  howpublished="print",
  institution="American Institute of Physics",
  number="1",
  year="2013",
  month="april",
  pages="2289--2292",
  publisher="American Institute of Physics",
  type="conference paper"
}