Publication result detail

The stability analysis of a discretized pantograph equation

KUNDRÁT, P.; JÁNSKÝ, J.

Original Title

The stability analysis of a discretized pantograph equation

English Title

The stability analysis of a discretized pantograph equation

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

English 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

pantograph equation, numerical solution, stability

Key words in English

pantograph equation, numerical solution, stability

Authors

KUNDRÁT, P.; JÁNSKÝ, J.

RIV year

2012

Released

08.12.2011

ISBN

0862-7959

Periodical

Mathematica Bohemica

Volume

136

Number

4

State

Czech Republic

Pages from

385

Pages to

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"
}