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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F22%3APU143438" target="_blank" >RIV/00216305:26220/22:PU143438 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/70883521:28140/22:63556418

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S1877750322000060?dgcid=coauthor" target="_blank" >https://www.sciencedirect.com/science/article/pii/S1877750322000060?dgcid=coauthor</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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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".

Název v anglickém jazyce

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

Popis výsledku anglicky

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".

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

Journal of Computational Science

ISSN

1877-7503

e-ISSN

—

Svazek periodika

59 (2022)

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

6

Strana od-do

1-6

Kód UT WoS článku

000777303200002

EID výsledku v databázi Scopus

2-s2.0-85123867326