Publication Details

Solving Wave Equation Using Finite Differences and Taylor Series

NEČASOVÁ Gabriela, KOCINA Filip, VEIGEND Petr, CHALOUPKA Jan, ŠÁTEK Václav and KUNOVSKÝ Jiří. Solving Wave Equation Using Finite Differences and Taylor Series. In: 14th International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2017, pp. 1-4. ISSN 0094-243X. Available from: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85026674709&doi=10.1063%2f1.4992649&partnerID=40&md5=b88ab101cdb7526960c61ac740a9c1e2
Czech title
Řešení vlnové rovnice s využitím konečných diferencí a Taylorovy řady
Type
conference paper
Language
english
Authors
Nečasová Gabriela, Ing., Ph.D. (DITS FIT BUT)
Kocina Filip, Ing., Ph.D. (DITS FIT BUT)
Veigend Petr, Ing., Ph.D. (DITS FIT BUT)
Chaloupka Jan, Ing. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Kunovský Jiří, doc. Ing., CSc. (DITS FIT BUT)
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 - American Institute of Physics, no. 1863, ISSN 0094-243X
Proceedings
14th International Conference of Numerical Analysis and Applied Mathematics
Conference
14rd International Conference of Numerical Analysis and Applied Mathematics, Rhodes, GR
Publisher
American Institute of Physics
Place
Rhodes, GR
DOI
10.1063/1.4992649
UT WoS
000410159800464
EID Scopus
2-s2.0-85026674709
BibTeX 
@INPROCEEDINGS{FITPUB11229,
   author = "Gabriela Ne\v{c}asov\'{a} and Filip Kocina and Petr Veigend and Jan Chaloupka and V\'{a}clav \v{S}\'{a}tek and Ji\v{r}\'{i} Kunovsk\'{y}",
   title = "Solving Wave Equation Using Finite Differences and Taylor Series",
   pages = "1--4",
   booktitle = "14th International Conference of Numerical Analysis and Applied Mathematics",
   journal = "AIP Conference Proceedings - American Institute of Physics",
   number = 1863,
   year = 2017,
   location = "Rhodes, GR",
   publisher = "American Institute of Physics",
   ISSN = "0094-243X",
   doi = "10.1063/1.4992649",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/11229"
}
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