Detail publikačního výsledku

Exact and discretized stability of the Bagley-Torvik equation

ČERMÁK, J.; KISELA, T.

Originální název

Exact and discretized stability of the Bagley-Torvik equation

Anglický název

Exact and discretized stability of the Bagley-Torvik equation

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

Fractional differential equation; Numerical solution; Stability; Asymptotic behaviour

Klíčová slova v angličtině

Fractional differential equation; Numerical solution; Stability; Asymptotic behaviour

Autoři

ČERMÁK, J.; KISELA, T.

Rok RIV

2015

Vydáno

15.10.2014

Nakladatel

Elsevier

ISSN

0377-0427

Periodikum

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Svazek

269

Číslo

10

Stát

Nizozemsko

Strany od

53

Strany do

67

Strany počet

15

BibTex

@article{BUT109801,
  author="Jan {Čermák} and Tomáš {Kisela}",
  title="Exact and discretized stability of the Bagley-Torvik equation",
  journal="JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS",
  year="2014",
  volume="269",
  number="10",
  pages="53--67",
  doi="10.1016/j.cam.2014.03.017",
  issn="0377-0427"
}