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

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dc.title Applications of the differential transform to second-order half-linear Euler equations en
dc.contributor.author Pátíková, Zuzana
dc.contributor.author Rebenda, Josef
dc.relation.ispartof Journal of Computational Science
dc.identifier.issn 1877-7503 Scopus Sources, Sherpa/RoMEO, JCR
dc.identifier.issn 1877-7511 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued 2022
utb.relation.volume 59
dc.type article
dc.language.iso en
dc.publisher Elsevier B.V.
dc.identifier.doi 10.1016/j.jocs.2022.101564
dc.relation.uri https://www.sciencedirect.com/science/article/pii/S1877750322000060
dc.subject half-linear Euler equation en
dc.subject differential transform en
dc.subject method of steps en
dc.subject differential equation with delay en
dc.description.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 differential 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". en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1010811
utb.identifier.obdid 43884079
utb.identifier.scopus 2-s2.0-85123867326
utb.identifier.wok 000777303200002
utb.source j-scopus
dc.date.accessioned 2022-02-07T11:18:08Z
dc.date.available 2022-02-07T11:18:08Z
utb.contributor.internalauthor Pátíková, Zuzana
utb.fulltext.affiliation Zuzana Pátíková a,∗, Josef Rebenda b a Department of Mathematics, Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi 4511, 76005 Zlín, Czech Republic b Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technická 2848/8, 61600 Brno, Czech Republic
utb.fulltext.dates Received 11 October 2021 Received in revised form 5 January 2022 Accepted 11 January 2022
utb.fulltext.sponsorship The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
utb.wos.affiliation [Patikova, Zuzana] Tomas Bata Univ Zlin, Fac Appl Informat, Dept Math, Stranemi 4511, Zlin 76005, Czech Republic; [Rebenda, Josef] Brno Univ Technol, Fac Elect Engn & Commun, Dept Math, Tech 2848-8, Brno 61600, Czech Republic
utb.scopus.affiliation Department of Mathematics, Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi 4511, Zlín, 76005, Czech Republic; Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technická 2848/8, Brno, 61600, Czech Republic
utb.fulltext.faculty Faculty of Applied Informatics
utb.fulltext.ou Department of Mathematics
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