Detail výsledku

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.
Typ
článek ve sborníku konference
Jazyk
anglicky
Autoři
Kunovský Jiří, doc. Ing., CSc., UITS (FIT)
Szöllös Alexandr, Ing., UITS (FIT)
Šátek Václav, Ing., Ph.D., UITS (FIT)
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.

Klíčová slova

Telegraph equation; Differential equations; Modern Taylor Series Method

Rok
2010
Strany
201–205
Sborník
Proceeding of the 11th International Scientific Conference Electric Power Engineering 2010
Konference
Electric Power Engineering 11th Scientific Conference
ISBN
978-80-214-4094-4
Vydavatel
Faculty of Electrical Engineering and Communication BUT
Místo
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"
}
Projekty
Bezpečné, spolehlivé a adaptivní počítačové systémy, VUT, Vnitřní projekty VUT, FIT-S-10-1, zahájení: 2010-03-01, ukončení: 2010-12-31, ukončen
Výzkum informačních technologií z hlediska bezpečnosti, MŠMT, Institucionální prostředky SR ČR (např. VZ, VC), MSM0021630528, zahájení: 2007-01-01, ukončení: 2013-12-31, řešení
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