Variational iteration method for solving a generalized pantograph equation

Authors:
Abbas Saadatmandi;Mehdi Dehghan
Affiliations:
Department of Mathematics, Faculty of Science, University of Kashan, Kashan, Iran;Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, Iran
Venue:
Computers & Mathematics with Applications
Year:
2009

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Abstract

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.