Publication detail

Exact and discretized stability of the Bagley-Torvik equation

ČERMÁK, J. KISELA, T.

Czech title

Exaktní a diskrétní stabilita Bagleyho-Torvikovy rovnice

English title

Exact and discretized stability of the Bagley-Torvik equation

Type

journal article in Web of Science

Language

en

Original abstract

The paper discusses stability and asymptotic properties of a two-term linear fractional differential equation involving the Bagley–Torvik equation as the particular case. These properties are analysed for the exact as well as numerical solutions obtained from the Grünwald–Letnikov discretization of the studied differential equation. As the main results, precise descriptions of the exact and discretized stability regions are presented, including the decay rate of the solutions.

Czech abstract

Článek diskutuje stabilitu a asymptotické vlastnosti řešení dvoučlenné lineární zlomkové diferenciální rovnice, zahrnující Bagleyho-Torvikovu rovnici jako speciální případ. Tyto vlastnosti jsou analyzovány pro exaktní i numerické řešení získané z Grünwaldovy–Letnikovovy diskretizace studované diferenciální rovnice. Hlavním výsledkem článku je přesný popis oblastí exaktní a diskrétní stability, včetně odhadu asymptotického poklesu řešení.

English abstract

The paper discusses stability and asymptotic properties of a two-term linear fractional differential equation involving the Bagley–Torvik equation as the particular case. These properties are analysed for the exact as well as numerical solutions obtained from the Grünwald–Letnikov discretization of the studied differential equation. As the main results, precise descriptions of the exact and discretized stability regions are presented, including the decay rate of the solutions.

Keywords in Czech

Zlomková diferenciální rovnice; Numerické řešení; Stabilita; Asymptotické chování

Keywords in English

Fractional differential equation; Numerical solution; Stability; Asymptotic behaviour

RIV year

2014

Released

15.10.2014

Publisher

Elsevier

ISSN

0377-0427

Volume

269

Number

10

Pages from–to

53–67

Pages count

15

BIBTEX


@article{BUT109801,
  author="Jan {Čermák} and Tomáš {Kisela},
  title="Exact and discretized stability of the Bagley-Torvik equation",
  year="2014",
  volume="269",
  number="10",
  month="October",
  pages="53--67",
  publisher="Elsevier",
  issn="0377-0427"
}