Přístupnostní navigace
E-application
Search Search Close
Publication detail
KUNDRÁT, P. JÁNSKÝ, J.
Original Title
The stability analysis of a discretized pantograph equation
Type
journal article - other
Language
English
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
pantograph equation, numerical solution, stability
Authors
KUNDRÁT, P.; JÁNSKÝ, J.
RIV year
2011
Released
8. 12. 2011
ISBN
0862-7959
Periodical
Mathematica Bohemica
Year of study
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" }