Publication detail

Exact and discretized stability of the Bagley-Torvik equation

ČERMÁK, J. KISELA, T.

English title

Exact and discretized stability of the Bagley-Torvik equation

Type

WoS Article

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.

Keywords in English

Fractional differential equation; Numerical solution; Stability; Asymptotic behaviour

Released

2014-10-15

Publisher

Elsevier

ISSN

0377-0427

Journal

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

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",
  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"
}