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Variational iteration method for solving the wave equation subject to an integral conservation condition. (English) Zbl 1198.65202

Summary: 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.
Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
35L20 Initial-boundary value problems for second-order hyperbolic equations
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