4.7 Article

Variational iteration method for solving a generalized pantograph equation

Journal

COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 58, Issue 11-12, Pages 2190-2196

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2009.03.017

Keywords

Pantograph equation; Symbolic computations; Variational iteration method; Closed form solution; Delay differential equation

Funding

  1. University of Kashan

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The variational iteration method is applied to solve the generalized pantograph equation. This technique provides a sequence of functions which converges to the exact solution of the problem and is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional. Employing this technique, it is possible to find the exact solution or an approximate solution of the problem. Some examples are given to demonstrate the validity and applicability of the method and a comparison is made with existing results. (C) 2009 Elsevier Ltd. All rights reserved.

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