Detail publikačního výsledku

Solving Wave Equation Using Finite Differences and Taylor Series

NEČASOVÁ, G.; KOCINA, F.; VEIGEND, P.; CHALOUPKA, J.; ŠÁTEK, V.; KUNOVSKÝ, J.

Originální název

Solving Wave Equation Using Finite Differences and Taylor Series

Anglický název

Solving Wave Equation Using Finite Differences and Taylor Series

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

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

Anglický abstrakt

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

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

NEČASOVÁ, G.; KOCINA, F.; VEIGEND, P.; CHALOUPKA, J.; ŠÁTEK, V.; KUNOVSKÝ, J.

Rok RIV

2018

Vydáno

21.07.2017

Nakladatel

American Institute of Physics

Místo

Rhodes

Kniha

14th International Conference of Numerical Analysis and Applied Mathematics

ISSN

0094-243X

Periodikum

AIP conference proceedings

Číslo

1863

Stát

Spojené státy americké

Strany od

1

Strany do

4

Strany počet

4

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85026674709&doi=10.1063%2f1.4992649&partnerID=40&md5=b88ab101cdb7526960c61ac740a9c1e2

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"
}