Publication detail

Exact and discretized stability of the Bagley-Torvik equation

ČERMÁK, J. KISELA, T.

Original Title

Exact and discretized stability of the Bagley-Torvik equation

Type

journal article in Web of Science

Language

English

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.

Keywords

Fractional differential equation; Numerical solution; Stability; Asymptotic behaviour

Authors

ČERMÁK, J.; KISELA, T.

RIV year

2014

Released

15. 10. 2014

Publisher

Elsevier

ISBN

0377-0427

Periodical

Journal of Computational and Applied Mathematics

Year of study

269

Number

10

State

Kingdom of the Netherlands

Pages from

53

Pages to

67

Pages count

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"
}