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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
Pages to
6
Pages count
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" }