Detail publikace

TKSL and Wave Partial Differential Equation

Originální název

TKSL and Wave Partial Differential Equation

Anglický název

TKSL and Wave Partial Differential Equation

Jazyk

en

Originální abstrakt

Taylor series method for solving differential equations represents a non-traditional way of solving differential equations. Even though this method is not much preferred in the literature, experimental calculations done at the Department of Intelligent Systems of the Faculty of Information Technology of TU Brno have verified that the accuracy and stability of the Taylor series method exceeds the currently used algorithms for numerically solving differential equations. This paper deals with the special case of wave partial differential equation - Telegraph equation and with the modeling of the behavior of electrical signals on a telegraph line. Experiments with large systems of ordinary differential equations on homogenous and non-homogenous wiring (about 1500 equations) are analyzed. The possibility of accelerating the computations in GPU using nVidia CUDA is outlined. The results are compared with those obtained by world standards MatLab and Maple software.

Anglický abstrakt

Taylor series method for solving differential equations represents a non-traditional way of solving differential equations. Even though this method is not much preferred in the literature, experimental calculations done at the Department of Intelligent Systems of the Faculty of Information Technology of TU Brno have verified that the accuracy and stability of the Taylor series method exceeds the currently used algorithms for numerically solving differential equations. This paper deals with the special case of wave partial differential equation - Telegraph equation and with the modeling of the behavior of electrical signals on a telegraph line. Experiments with large systems of ordinary differential equations on homogenous and non-homogenous wiring (about 1500 equations) are analyzed. The possibility of accelerating the computations in GPU using nVidia CUDA is outlined. The results are compared with those obtained by world standards MatLab and Maple software.

BibTex


@inproceedings{BUT34727,
  author="Jiří {Kunovský} and Alexandr {Szöllös} and Václav {Šátek}",
  title="TKSL and Wave Partial Differential Equation",
  annote="Taylor series method for solving differential equations represents
a non-traditional way of solving differential equations. Even though this method
is not much preferred in the literature, experimental calculations done at the
Department of Intelligent Systems of the Faculty of Information Technology of TU
Brno have verified that the accuracy and stability of the Taylor series method
exceeds the currently used algorithms for numerically solving differential
equations. This paper deals with the special case of wave partial differential
equation - Telegraph equation and with the modeling of the behavior of electrical
signals on a telegraph line. Experiments with large systems of ordinary
differential equations on homogenous and non-homogenous wiring (about 1500
equations) are analyzed. The possibility of accelerating the computations in GPU
using nVidia CUDA is outlined. The results are compared with those obtained by
world standards MatLab and Maple software.",
  address="Faculty of Electrical Engineering and Communication BUT",
  booktitle="Proceeding of the 11th International Scientific Conference Electric Power Engineering 2010",
  chapter="34727",
  edition="NEUVEDEN",
  howpublished="print",
  institution="Faculty of Electrical Engineering and Communication BUT",
  year="2010",
  month="may",
  pages="201--205",
  publisher="Faculty of Electrical Engineering and Communication BUT",
  type="conference paper"
}