Result Details

TKSL and Wave Partial Differential Equation

KUNOVSKÝ, J.; SZÖLLÖS, A.; ŠÁTEK, V. TKSL and Wave Partial Differential Equation. In Proceeding of the 11th International Scientific Conference Electric Power Engineering 2010. Brno: Faculty of Electrical Engineering and Communication BUT, 2010. p. 201-205. ISBN: 978-80-214-4094-4.
Type
conference paper
Language
English
Authors
Kunovský Jiří, doc. Ing., CSc., DITS (FIT)
Szöllös Alexandr, Ing., DITS (FIT)
Šátek Václav, Ing., Ph.D., DITS (FIT)
Abstract

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.

Keywords

Telegraph equation; Differential equations; Modern Taylor Series Method

Published
2010
Pages
201–205
Proceedings
Proceeding of the 11th International Scientific Conference Electric Power Engineering 2010
Conference
Electric Power Engineering 11th Scientific Conference
ISBN
978-80-214-4094-4
Publisher
Faculty of Electrical Engineering and Communication BUT
Place
Brno
UT WoS
000284981100039
BibTeX 
@inproceedings{BUT34727,
  author="Jiří {Kunovský} and Alexandr {Szöllös} and Václav {Šátek}",
  title="TKSL and Wave Partial Differential Equation",
  booktitle="Proceeding of the 11th International Scientific Conference Electric Power Engineering 2010",
  year="2010",
  pages="201--205",
  publisher="Faculty of Electrical Engineering and Communication BUT",
  address="Brno",
  isbn="978-80-214-4094-4"
}
Projects
Secured, reliable and adaptive computer systems, BUT, Vnitřní projekty VUT, FIT-S-10-1, start: 2010-03-01, end: 2010-12-31, completed
Security-Oriented Research in Information Technology, MŠMT, Institucionální prostředky SR ČR (např. VZ, VC), MSM0021630528, start: 2007-01-01, end: 2013-12-31, running
Research groups
High Performance Computing Research Group (RG HPC)
Departments
Department of Intelligent Systems (DITS)
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