Publication Details

Solving Wave Equation Using Finite Differences and Taylor Series

NEČASOVÁ, G.; KOCINA, F.; VEIGEND, P.; CHALOUPKA, J.; ŠÁTEK, V.; KUNOVSKÝ, J. Solving Wave Equation Using Finite Differences and Taylor Series. In 14th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2017. p. 1-4. ISSN: 0094-243X.
Czech title
Řešení vlnové rovnice s využitím konečných diferencí a Taylorovy řady
Type
conference paper
Language
English
Authors
Nečasová Gabriela, Ing., Ph.D. (DITS)
Kocina Filip, Ing., Ph.D.
Veigend Petr, Ing., Ph.D. (DITS)
Chaloupka Jan, Ing.
Šátek Václav, Ing., Ph.D. (DITS)
Kunovský Jiří, doc. Ing., CSc.
URL
Keywords

Wave equation, differential equations, Taylor series, finite dfferences scheme

Abstract

The paper deals with the numerical solution of partial differential equations (PDEs), especially wave equation. Two methods are used to obtain numerical solution of the wave equation. The Finite Difference Method (FDM) is used for transformation of wave equation to the system of ODEs, different types of difference formulas are used. The Modern Taylor Series Method (MTSM) allows to solve ODEs numerically, an important feature of this method is an automatic integration order setting, i.e. using as many Taylor series terms as the defined accuracy requires

Published
2017
Pages
1–4
Journal
AIP conference proceedings, no. 1863, ISSN 0094-243X
Proceedings
14th International Conference of Numerical Analysis and Applied Mathematics
Publisher
American Institute of Physics
Place
Rhodes
DOI
10.1063/1.4992649
UT WoS
000410159800464
EID Scopus
2-s2.0-85026674709
BibTeX 
@inproceedings{BUT144389,
  author="Gabriela {Nečasová} and Filip {Kocina} and Petr {Veigend} and Jan {Chaloupka} and Václav {Šátek} and Jiří {Kunovský}",
  title="Solving Wave Equation Using Finite Differences and Taylor Series",
  booktitle="14th International Conference of Numerical Analysis and Applied Mathematics",
  year="2017",
  journal="AIP conference proceedings",
  number="1863",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/1.4992649",
  issn="0094-243X",
  url="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85026674709&doi=10.1063%2f1.4992649&partnerID=40&md5=b88ab101cdb7526960c61ac740a9c1e2"
}
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