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^*

^*Bu çalışma için yazışmadan sorumlu yazar

Uçak Mühendisliği Bölümü

Araştırma sonucu: ???type-name??? › Makale › bilirkişi

105 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1216-1228
Sayfa sayısı	13
Dergi	Applied Mathematics and Computation
Hacim	174
Basın numarası	2
DOI'lar	https://doi.org/10.1016/j.amc.2005.06.013
Yayın durumu	Yayınlandı - 15 Mar 2006

Belgeye Erişim

10.1016/j.amc.2005.06.013

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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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",

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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

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap