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

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F22%3A63556418" target="_blank" >RIV/70883521:28140/22:63556418 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216305:26220/22:PU143438

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S1877750322000060?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S1877750322000060?via%3Dihub</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jocs.2022.101564" target="_blank" >10.1016/j.jocs.2022.101564</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language description

    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”. © 2022 Elsevier B.V.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2022

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    JOURNAL OF COMPUTATIONAL SCIENCE

  • ISSN

    1877-7503

  • e-ISSN

    1877-7511

  • Volume of the periodical

    59

  • Issue of the periodical within the volume

    Neuveden

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    6

  • Pages from-to

    1-6

  • UT code for WoS article

    000777303200002

  • EID of the result in the Scopus database

    2-s2.0-85123867326