Publication detail

Numerical Solution of Wave Equation Using Higher Order Methods

NEČASOVÁ, G. KUNOVSKÝ, J. ŠÁTEK, V.

Original Title

Numerical Solution of Wave Equation Using Higher Order Methods

Type

conference paper

Language

English

Original Abstract

The paper deals with the numerical solution of partial differential equations (PDEs). The one-dimensional wave equation was chosen for experiments; it is solved using Method of Lines (MOL) which transforms the PDE into the system of ordinary differential equations (ODEs). The time domain remains continuous, and the Modern Taylor Series Method (MTSM) is used for solving the system of ODES. On the other hand, the space domain is discretized by higher order finite difference formulas. Higher order difference formulas can be unstable. The necessity of the variable precision arithmetic is discussed in this paper. The seven point difference formula is analysed as an example of higher order difference formulas.

Keywords

PDE, ODE, Method of Lines, MTSM, difference formulas

Authors

NEČASOVÁ, G.; KUNOVSKÝ, J.; ŠÁTEK, V.

Released

25. 9. 2017

Publisher

American Institute of Physics

Location

Thessaloniki

ISBN

978-0-7354-1690-1

Book

15th International Conference of Numerical Analysis and Applied Mathematics

Pages from

1

Pages to

4

Pages count

4

URL

https://aip.scitation.org/doi/10.1063/1.5043964

BibTex

@inproceedings{BUT155785,
  author="Gabriela {Nečasová} and Jiří {Kunovský} and Václav {Šátek}",
  title="Numerical Solution of Wave Equation Using Higher Order Methods",
  booktitle="15th International Conference of Numerical Analysis and Applied Mathematics",
  year="2017",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Thessaloniki",
  doi="10.1063/1.5043964",
  isbn="978-0-7354-1690-1",
  url="https://aip.scitation.org/doi/10.1063/1.5043964"
}