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Zbl 1206.65239
Y ild ir im, Ahmet
He's homotopy perturbation method for solving the space- and time-fractional telegraph equations. (English)
[J] Int. J. Comput. Math. 87, No. 13, 2998-3006 (2010). ISSN 0020-7160; ISSN 1029-0265/e

Summary: The homotopy perturbation method (HPM) is used to obtain analytic and approximate solutions of space- and time-fractional telegraph equations. The space- and time-fractional derivatives are considered in the Caputo sense. The analytic solutions are calculated in the form of a series with easily computable terms. Some examples are given. The results reveal that HPM is very effective and convenient.

MSC 2000:: *65M70 Spectral, collocation and related methods (IVP of PDE)
35R11
35L20 Second order hyperbolic equations, boundary value problems

Keywords: homotopy perturbation method; fractional differential equation; telegraph equation; numerical examples

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Zentralblatt MATH Berlin [Germany]