Solution of differential-difference equations by using differential transform method

Aytac Arikoglu; Ibrahim Ozkol

doi:10.1016/j.amc.2006.01.022

Solution of differential-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

104 Citations (Scopus)

Abstract

In this work, we successfully extended differential transform method (DTM), by presenting and proving new theorems, to the solution of differential-difference equations (DDEs). Theorems are presented in the most general form to cover a wide range of DDEs, being linear or nonlinear and constant or variable coefficient. In order to show the power and the robustness of the method and to illustrate the pertinent features of related theorems, examples are presented.

Original language	English
Pages (from-to)	153-162
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	181
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2006.01.022
Publication status	Published - 1 Oct 2006

Keywords

DDE
Differential transform method
Differential-difference equations
DTM
Series solution

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10.1016/j.amc.2006.01.022

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KW - Series solution

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Solution of differential-difference equations by using differential transform method

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Keywords

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