Publication detail

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

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

Original Title

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

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

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

Authors

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

Released

5. 1. 2023

Publisher

INT SCIENTIFIC RESEARCH PUBLICATIONS

Location

Iran

ISBN

2008-949X

Periodical

Journal of Mathematics and Computer Science-JMCS

Year of study

29 (2023)

Number

1

State

Islamic Republic of Iran

Pages from

73

Pages to

89

Pages count

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"
}