Applications of the differential transformation to three-point singular boundary value problems for ordinary differential equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F23%3APU147900" target="_blank" >RIV/00216305:26220/23:PU147900 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.isr-publications.com/jmcs/articles-11365-applications-of-the-differential-transformation-to-three-point-singular-boundary-value-problems-for-ordinary-differential-equations" target="_blank" >https://www.isr-publications.com/jmcs/articles-11365-applications-of-the-differential-transformation-to-three-point-singular-boundary-value-problems-for-ordinary-differential-equations</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.22436/jmcs.029.01.07" target="_blank" >10.22436/jmcs.029.01.07</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Applications of the differential transformation to three-point singular boundary value problems for ordinary differential equations

Popis výsledku v původním jazyce

The differential transform method is used to find numerical approximations of the solution to a class of certain nonlinear three-point singular boundary value problems. The method is based on Taylor’s theorem. Coefficients of the Taylor series are determined by constructing a recurrence relation. To deal with the nonlinearity of the problems, the Faà di Bruno’s formula containing the partial ordinary Bell polynomials is applied within the differential transform. The error estimation results are also presented. Four concrete problems are studied to show efficiency and reliability of the method. The obtained results are compared to other methods, e.g., reproducing kernel Hilbert space method.

Název v anglickém jazyce

Applications of the differential transformation to three-point singular boundary value problems for ordinary differential equations

Popis výsledku anglicky

The differential transform method is used to find numerical approximations of the solution to a class of certain nonlinear three-point singular boundary value problems. The method is based on Taylor’s theorem. Coefficients of the Taylor series are determined by constructing a recurrence relation. To deal with the nonlinearity of the problems, the Faà di Bruno’s formula containing the partial ordinary Bell polynomials is applied within the differential transform. The error estimation results are also presented. Four concrete problems are studied to show efficiency and reliability of the method. The obtained results are compared to other methods, e.g., reproducing kernel Hilbert space method.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

Journal of Mathematics and Computer Science-JMCS

ISSN

2008-949X

e-ISSN

—

Svazek periodika

29 (2023)

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

IR - Íránská islámská republika

Počet stran výsledku

17

Strana od-do

73-89

Kód UT WoS článku

000860825800007

EID výsledku v databázi Scopus

2-s2.0-85137244872