Solution of difference equations by using differential transform method

Aytac Arikoglu; Ibrahim Ozkol

doi:10.1016/j.amc.2005.06.013

Solution of difference equations by using differential transform method

Aytac Arikoglu, Ibrahim Ozkol^*

^*Corresponding author for this work

Department of Aeronautical Engineering

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

105 Citations (Scopus)

Abstract

This work presents semi numerical-analytical solutions to both linear and nonlinear difference equations with variable coefficients by applying Differential Transform Method (DTM) and extending it with the related theorems and their proofs. To make clear and illustrate the features and capabilities of the presented method, examples are carried out and numerical results with comparison to exact solutions and other methods are given.

Original language	English
Pages (from-to)	1216-1228
Number of pages	13
Journal	Applied Mathematics and Computation
Volume	174
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2005.06.013
Publication status	Published - 15 Mar 2006

Keywords

Difference equations
Differential transform method
DTM
Nonlinear
Variable coefficients

Access to Document

10.1016/j.amc.2005.06.013

Cite this

@article{6f3983311ba84fec92e52dcc090ffe0b,

title = "Solution of difference equations by using differential transform method",

abstract = "This work presents semi numerical-analytical solutions to both linear and nonlinear difference equations with variable coefficients by applying Differential Transform Method (DTM) and extending it with the related theorems and their proofs. To make clear and illustrate the features and capabilities of the presented method, examples are carried out and numerical results with comparison to exact solutions and other methods are given.",

keywords = "Difference equations, Differential transform method, DTM, Nonlinear, Variable coefficients",

author = "Aytac Arikoglu and Ibrahim Ozkol",

year = "2006",

month = mar,

day = "15",

doi = "10.1016/j.amc.2005.06.013",

language = "English",

volume = "174",

pages = "1216--1228",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "2",

}

TY - JOUR

T1 - Solution of difference equations by using differential transform method

AU - Arikoglu, Aytac

AU - Ozkol, Ibrahim

PY - 2006/3/15

Y1 - 2006/3/15

N2 - This work presents semi numerical-analytical solutions to both linear and nonlinear difference equations with variable coefficients by applying Differential Transform Method (DTM) and extending it with the related theorems and their proofs. To make clear and illustrate the features and capabilities of the presented method, examples are carried out and numerical results with comparison to exact solutions and other methods are given.

AB - This work presents semi numerical-analytical solutions to both linear and nonlinear difference equations with variable coefficients by applying Differential Transform Method (DTM) and extending it with the related theorems and their proofs. To make clear and illustrate the features and capabilities of the presented method, examples are carried out and numerical results with comparison to exact solutions and other methods are given.

KW - Difference equations

KW - Differential transform method

KW - DTM

KW - Nonlinear

KW - Variable coefficients

UR - http://www.scopus.com/inward/record.url?scp=33644589650&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2005.06.013

DO - 10.1016/j.amc.2005.06.013

M3 - Article

AN - SCOPUS:33644589650

SN - 0096-3003

VL - 174

SP - 1216

EP - 1228

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Solution of difference equations by using differential transform method

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this