Publication detail

Applications of the differential transform to second-order half-linear Euler equations

PÁTÍKOVÁ, Z. REBENDA, J.

Original Title

Applications of the differential transform to second-order half-linear Euler equations

Type

journal article in Web of Science

Language

English

Original Abstract

Nonlinear differential equations are considered to be an important tool for describing a number of phenomena in engineering and the natural sciences, and their study is thus subject to contemporary research. The purpose of the paper is to show applications of the differenttial transform to second-order half-linear Euler equations with and without delay. The case of proportional delay is considered. Finding a numerical solution to an initial value problem is reduced to solving recurrence relations. The outputs of the recurrence relations are coefficients of the Taylor series of the solution. Validity of the presented algorithm is demonstrated on concrete examples of initial value problems. Numerical results are compared with solutions produced by Matlab function "ddesd".

Keywords

Half-linear Euler equation; Differential transform; Method of steps; Differential equation with delay

Authors

PÁTÍKOVÁ, Z.; REBENDA, J.

Released

31. 1. 2022

Publisher

Elsevier B.V.

Location

Amsterdam

ISBN

1877-7503

Periodical

Journal of Computational Science

Year of study

59 (2022)

Number

1

State

Kingdom of the Netherlands

Pages from

1

Pages to

6

Pages count

6

URL

https://www.sciencedirect.com/science/article/pii/S1877750322000060?dgcid=coauthor

BibTex

@article{BUT176491,
  author="Zuzana {Pátíková} and Josef {Rebenda}",
  title="Applications of the differential transform to second-order half-linear Euler equations",
  journal="Journal of Computational Science",
  year="2022",
  volume="59 (2022)",
  number="1",
  pages="1--6",
  doi="10.1016/j.jocs.2022.101564",
  issn="1877-7503",
  url="https://www.sciencedirect.com/science/article/pii/S1877750322000060?dgcid=coauthor"
}