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Dehghan, Mehdi; Yousefi, S. A.; Lotfi, A.

The use of He’s variational iteration method for solving the telegraph and fractional telegraph equations. (English) Zbl 1210.65173

Int. J. Numer. Methods Biomed. Eng. 27, No. 2, 219-231 (2011).
Summary: The variational iteration method is used to compute the solution for the linear, variable coefficient, fractional derivative and multi space telegraph equations. The method constructs a convergent sequence of functions, to approximate the exact solution with a few number of iterations without discretization. Numerical results and comparison with exact solutions are given for some examples in order to show its applicability and efficiency.

Cited in 55 Documents

MSC:

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Keywords:

variational iteration method; semi-analytical solution; fractional telegraph equations; numerical results
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\textit{M. Dehghan} et al., Int. J. Numer. Methods Biomed. Eng. 27, No. 2, 219--231 (2011; Zbl 1210.65173)
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