Series solution for a delay differential equation arising in electrodynamics

In this study, the pantograph equation is investigated using the homotopy perturbation and variational iteration methods. The pantograph equation is a delay differential equation that arises in quite different fields of pure and applied mathematics, such as number theory, dynamical systems, probabil...

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Bibliographic Details
Published in:Communications in numerical methods in engineering Vol. 25; no. 11; pp. 1084 - 1096
Main Authors: KOCAK, Hüseyin, YILDIRIM, Ahmet
Format: Journal Article
Language:English
Published: Chichester, UK John Wiley & Sons, Ltd 01.11.2009
Wiley
Subjects:
Computational techniques
delay differential equations
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Physics
the homotopy perturbation method
the variational iteration method
Electrodynamics
Probabilistic approach
delay differential equations
the variational iteration method
Delay equation
Exact solution
Applied mathematics
Homotopy
Perturbation techniques
Variational calculus
Modelling
Pantographs
Iterative methods
Linearization
the homotopy perturbation method
ISSN:1069-8299, 1099-0887
Online Access:Get full text
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Summary:In this study, the pantograph equation is investigated using the homotopy perturbation and variational iteration methods. The pantograph equation is a delay differential equation that arises in quite different fields of pure and applied mathematics, such as number theory, dynamical systems, probability, mechanics and electrodynamics. The procedure of present methods are based on the search for a solution in the form of a series with easily computed components. Application of these techniques to this problem shows the rapid convergence of the sequence constructed by these methods to the exact solution. Moreover, this technique reduces the volume of calculations by not requiring discretization of the variables, linearization or small perturbations. Copyright © 2009 John Wiley & Sons, Ltd.
Bibliography:istex:0C72113E044803A13A8B5F92B0CBBBCA20A2D36B
ark:/67375/WNG-RCBCD81P-S
ArticleID:CNM1288
ISSN:1069-8299
1099-0887
DOI:10.1002/cnm.1288