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Detail publikace
Methi, G. Kumar, A. Rebenda, J.
Originální název
Applications of the differential transformation to three-point singular boundary value problems for ordinary differential equations
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
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.
Klíčová slova
Differential transform method; error estimates; numerical approximation; partial ordinary Bell polynomials; singular boundary value problems
Autoři
Methi, G.; Kumar, A.; Rebenda, J.
Vydáno
5. 1. 2023
Nakladatel
INT SCIENTIFIC RESEARCH PUBLICATIONS
Místo
Iran
ISSN
2008-949X
Periodikum
Journal of Mathematics and Computer Science-JMCS
Ročník
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" }