Series solution for a delay differential equation arising in electrodynamics

Küçük Resim Yok

Tarih

2009

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

John Wiley & Sons Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

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 (C) 2009 John Wiley & Sons, Ltd.

Açıklama

Anahtar Kelimeler

delay differential equations, the homotopy perturbation method, the variational iteration method

Kaynak

Communications in Numerical Methods in Engineering

WoS Q Değeri

Q3

Scopus Q Değeri

N/A

Cilt

25

Sayı

11

Künye