Variational iteration method for generalized pantograph equation with convergence analysis

Mohsen Alipour; Dumitru Baleanu; Kobra Karimi; Sunil Kumar

doi:10.5890/DNC.2014.06.001

Variational iteration method for generalized pantograph equation with convergence analysis

Mohsen Alipour
, Dumitru Baleanu
, Kobra Karimi
, Sunil Kumar

Babol Noshirvani University of Technology
Cankaya University
Institute for Space Sciences
Faculty of Engineering, King Abdulaziz University
Buein Zahra Technical University
National Institute of Technology Jamshedpur

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	109-121
Number of pages	13
Journal	Discontinuity, Nonlinearity, and Complexity
Volume	3
Issue number	2
DOIs	https://doi.org/10.5890/DNC.2014.06.001
State	Published - 2014
Externally published	Yes

Keywords

Convergence analysis
Pantograph equation
Variational iteration method

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title = "Variational iteration method for generalized pantograph equation with convergence analysis",

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.",

keywords = "Convergence analysis, Pantograph equation, Variational iteration method",

author = "Mohsen Alipour and Dumitru Baleanu and Kobra Karimi and Sunil Kumar",

note = "Publisher Copyright: {\textcopyright} 2014 L and H Scientific Publishing, LLC.",

year = "2014",

doi = "10.5890/DNC.2014.06.001",

language = "English",

volume = "3",

pages = "109--121",

journal = "Discontinuity, Nonlinearity, and Complexity",

issn = "2164-6376",

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number = "2",

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TY - JOUR

T1 - Variational iteration method for generalized pantograph equation with convergence analysis

AU - Alipour, Mohsen

AU - Baleanu, Dumitru

AU - Karimi, Kobra

AU - Kumar, Sunil

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - Convergence analysis

KW - Pantograph equation

KW - Variational iteration method

UR - https://www.scopus.com/pages/publications/85032737458

U2 - 10.5890/DNC.2014.06.001

DO - 10.5890/DNC.2014.06.001

M3 - Article

AN - SCOPUS:85032737458

SN - 2164-6376

VL - 3

SP - 109

EP - 121

JO - Discontinuity, Nonlinearity, and Complexity

JF - Discontinuity, Nonlinearity, and Complexity

IS - 2

ER -

Variational iteration method for generalized pantograph equation with convergence analysis

Abstract

Keywords

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