Publication detail

Solving Wave Equation Using Finite Differences and Taylor Series

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

Original Title

Solving Wave Equation Using Finite Differences and Taylor Series

Type

conference paper

Language

English

Original 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

Keywords

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

Authors

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

Released

21. 7. 2017

Publisher

American Institute of Physics

Location

Rhodes

ISBN

0094-243X

Periodical

AIP conference proceedings

Number

1863

State

United States of America

Pages from

1

Pages to

4

Pages count

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"
}