Differential transform method for solving singularly perturbed volterra integral equations

Nurettin Doĝan; Vedat Suat Ertürk; Shaher Momani; Ömer Akin; Ahmet Yildirim

doi:10.1016/j.jksus.2010.07.013

Differential transform method for solving singularly perturbed volterra integral equations

Nurettin Doĝan
, Vedat Suat Ertürk
, Shaher Momani
, Ömer Akin
, Ahmet Yildirim

Gazi University
Ondokuz Mayis University
University of Jordan
TOBB University of Economics and Technology
Ege University

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

In this work, the applications of differential transform method were extended to singularly perturbed Volterra integral equations. To show the efficiency of the method, some singularly perturbed Volterra integral equations are solved as numerical examples. Numerical results show that the differential transform method is very effective and convenient for solving a large number of singularly perturbed problems with high accuracy.

Original language	English
Pages (from-to)	223-228
Number of pages	6
Journal	Journal of King Saud University - Science
Volume	23
Issue number	2
DOIs	https://doi.org/10.1016/j.jksus.2010.07.013
State	Published - Apr 2011
Externally published	Yes

Keywords

Differential transform method
Singularly perturbed problems
Volterra integral equations

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10.1016/j.jksus.2010.07.013

Cite this

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abstract = "In this work, the applications of differential transform method were extended to singularly perturbed Volterra integral equations. To show the efficiency of the method, some singularly perturbed Volterra integral equations are solved as numerical examples. Numerical results show that the differential transform method is very effective and convenient for solving a large number of singularly perturbed problems with high accuracy.",

keywords = "Differential transform method, Singularly perturbed problems, Volterra integral equations",

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AU - Doĝan, Nurettin

AU - Ertürk, Vedat Suat

AU - Momani, Shaher

AU - Akin, Ömer

AU - Yildirim, Ahmet

PY - 2011/4

Y1 - 2011/4

N2 - In this work, the applications of differential transform method were extended to singularly perturbed Volterra integral equations. To show the efficiency of the method, some singularly perturbed Volterra integral equations are solved as numerical examples. Numerical results show that the differential transform method is very effective and convenient for solving a large number of singularly perturbed problems with high accuracy.

AB - In this work, the applications of differential transform method were extended to singularly perturbed Volterra integral equations. To show the efficiency of the method, some singularly perturbed Volterra integral equations are solved as numerical examples. Numerical results show that the differential transform method is very effective and convenient for solving a large number of singularly perturbed problems with high accuracy.

KW - Differential transform method

KW - Singularly perturbed problems

KW - Volterra integral equations

UR - https://www.scopus.com/pages/publications/80052519024

U2 - 10.1016/j.jksus.2010.07.013

DO - 10.1016/j.jksus.2010.07.013

M3 - Article

AN - SCOPUS:80052519024

SN - 1018-3647

VL - 23

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JO - Journal of King Saud University - Science

JF - Journal of King Saud University - Science

IS - 2

ER -

Differential transform method for solving singularly perturbed volterra integral equations

Abstract

Keywords

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