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An approximation to the solution of telegraph equation by variational iteration method. (English) Zbl 1169.65335

Summary: The variational iteration method (VIM) has been applied to solve many functional equations. In this article, this method is applied to obtain an approximate solution for the Telegraph equation. Some examples are presented to show the ability of the proposed method. The results of applying the VIM are exactly the same as those obtained by the Adomian decomposition method. It seems less computation is needed in the proposed method.

MSC:

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35L15 Initial value problems for second-order hyperbolic equations
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References:

[1] Biazar, An Approximation to the Solution of Telegraph Equation by Adomian decomposition method, International Mathematical Forum 2 pp 2231– (2007) · Zbl 1140.65356 · doi:10.12988/imf.2007.07196
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