Publication Details

Optimum Differential Expression in Solving PDE

KUNOVSKÝ Jiří and ZBOŘIL František. Optimum Differential Expression in Solving PDE. In: Proceedings of the MOSIS'97. Ostrava, 1997, pp. 80-85. ISBN 80-85988-16-X.

Type

conference paper

Language

english

Authors

Kunovský Jiří, Doc. Ing., CSc. (DCSE FEECS BUT)
Zbořil František, Doc. Ing., CSc. (DCSE FEECS BUT)

Keywords

Multiple Arithmetic, Hyperbolic PDE, Method of Lines

Annotation

Numerical methods of solving PDE's based on approximations of the derivatives by differences are among basic methods. If we leave the derivatives of one variable continuous and replace the derivatives of other independent variables by differences, we will get the method of lines. The aim of this paper is to consider a higher-order difference scheme. This means that more than nearest-neighbor points are used to update the required value at a point. The basic idea of a three-point approximation and a five-point approximation for solving a hyperbolic PDE by the method of lines is presented. A multiple arithmetic is used for calculations.

Published

1997

Pages

80-85

Proceedings

Proceedings of the MOSIS'97

ISBN

80-85988-16-X

Place

Ostrava, CZ

BibTeX

@INPROCEEDINGS{FITPUB6074,
   author = "Ji\v{r}\'{i} Kunovsk\'{y} and Franti\v{s}ek Zbo\v{r}il",
   title = "Optimum Differential Expression in Solving PDE",
   pages = "80--85",
   booktitle = "Proceedings of the MOSIS'97",
   year = 1997,
   location = "Ostrava, CZ",
   ISBN = "80-85988-16-X",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/6074"
}