Publication detail

The stability analysis of a discretized pantograph equation

KUNDRÁT, P. JÁNSKÝ, J.

English title

The stability analysis of a discretized pantograph equation

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

Original abstract

The paper deals with a difference equation arising from the scalar pantograph equation via the backward Euler discretization. A case when the solution tends to zero but after reaching a certain index it loses this tendency is discussed. We analyse this problem and estimate the value of such an index. Furthermore, we show that the utilized proof technique enables us to investigate some other numerical formulae, too.

Keywords in English

pantograph equation, numerical solution, stability

Released

2011-12-08

ISSN

0862-7959

Journal

Mathematica Bohemica

Volume

136

Number

4

Pages from–to

385–394

Pages count

10

BIBTEX


@article{BUT75400,
  author="Petr {Tomášek} and Jiří {Jánský}",
  title="The stability analysis of a discretized pantograph equation",
  journal="Mathematica Bohemica",
  year="2011",
  volume="136",
  number="4",
  pages="385--394",
  issn="0862-7959"
}