Variational iteration method for solving the wave equation subject to an integral conservation condition

Mehdi Dehghan and Abbas Saadatmandi

Chaos, Solitons & Fractals, 2009, vol. 41, issue 3, 1448-1453

Abstract: In this work, the well known variational iteration method is used for solving the one-dimensional wave equation that combines classical and integral boundary conditions. This method is based on the use of Lagrange multipliers for identification of optimal values of parameters in a functional. Using this method, a rapid convergent sequence is produced which tends to the exact solution of the problem. We will change the main problem to a direct problem which is easy to handle the variational iteration method. Illustrative examples are included to demonstrate the validity and applicability of the presented method.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:3:p:1448-1453

DOI: 10.1016/j.chaos.2008.06.009

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