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Zbl 1169.65335
Biazar, J.; Ebrahimi, H.; Ayati, Z.
An approximation to the solution of telegraph equation by variational iteration method. (English)
[J] Numer. Methods Partial Differ. Equations 25, No. 4, 797-801 (2009). ISSN 0749-159X; ISSN 1098-2426/e

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 2000:: *65M70 Spectral, collocation and related methods (IVP of PDE)
35L15 Second order hyperbolic equations, initial value problems

Keywords: variational iteration method; telegraph equation; Lagrange multiplier; restricted variation; numerical examples; comparison methods; Adomian decomposition method

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Zentralblatt MATH Berlin [Germany]