ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Variational Iteration Method for Generalized Pantograph Equation with Convergence Analysis

Discontinuity, Nonlinearity, and Complexity 3(2) (2014) 109--121 | DOI:10.5890/DNC.2014.06.001

Mohsen Alipour$^{1}$ , Dumitru Baleanu$^{2}$,$^{3}$,$^{4}$ , Kobra Karimi$^{5}$, Sunil Kumar$^{6}$

$^{1}$ Faculty of Basic Science, Babol University of Technology, P.O. Box 47148-71167, Babol, Iran

$^{2}$ Department of Mathematics, Cankaya University, Ogretmenler Cad. 14, Balgat, 06530 Ankara, Turkey

$^{3}$ Institute of Space Sciences, P.O. Box MG 23, Magurele, 077125 Bucharest, Romania

$^{4}$ Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia

$^{5}$ Department of Mathematics, Buin Zahra Technical University, P.O. Box 34517-45346, Buin Zahra, Qazvin, Iran

$^{6}$ Department of Mathematics, National Institute of Technology, Jamshedpur, 831014, Jharkhand, India

Abstract

In this paper, we solve generalized pantograph equation by changing the problem to a system of ordinary equations and using the variational iteration method. We discuss convergence of the proposed method to the exact solution. Finally, illustrative examples are given to demonstrate the efficiency of the method.

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