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

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2023

Confidentiality

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

Name of the periodical

Journal of Mathematics and Computer Science-JMCS

ISSN

2008-949X

e-ISSN

—

Volume of the periodical

29 (2023)

Issue of the periodical within the volume

1

Country of publishing house

IR - IRAN, ISLAMIC REPUBLIC OF

Number of pages

17

Pages from-to

73-89

UT code for WoS article

000860825800007

EID of the result in the Scopus database

2-s2.0-85137244872