Detail publikačního výsledku

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

Methi, G.; Kumar, A.; Rebenda, J.

Originální název

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

Anglický název

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

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

Differential transform method; error estimates; numerical approximation; partial ordinary Bell polynomials; singular boundary value problems

Klíčová slova v angličtině

Differential transform method; error estimates; numerical approximation; partial ordinary Bell polynomials; singular boundary value problems

Autoři

Methi, G.; Kumar, A.; Rebenda, J.

Rok RIV

2024

Vydáno

05.01.2023

Nakladatel

INT SCIENTIFIC RESEARCH PUBLICATIONS

Místo

Iran

ISSN

2008-949X

Periodikum

Journal of Mathematics and Computer Science-JMCS

Svazek

29 (2023)

Číslo

1

Stát

Íránská islámská republika

Strany od

73

Strany do

89

Strany počet

17

URL

https://www.isr-publications.com/jmcs/articles-11365-applications-of-the-differential-transformation-to-three-point-singular-boundary-value-problems-for-ordinary-differential-equations

BibTex

@article{BUT183141,
  author="Methi, G. and Kumar, A. and Rebenda, J.",
  title="Applications of the differential transformation to three-point singular boundary value problems for ordinary differential equations",
  journal="Journal of Mathematics and Computer Science-JMCS",
  year="2023",
  volume="29 (2023)",
  number="1",
  pages="73--89",
  doi="10.22436/jmcs.029.01.07",
  issn="2008-949X",
  url="https://www.isr-publications.com/jmcs/articles-11365-applications-of-the-differential-transformation-to-three-point-singular-boundary-value-problems-for-ordinary-differential-equations"
}