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Yıldırım, Ahmet

He’s homotopy perturbation method for solving the space- and time-fractional telegraph equations. (English) Zbl 1206.65239

Int. J. Comput. Math. 87, No. 13, 2998-3006 (2010); correction ibid. 98, No. 5, 1070 (2021).
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.

Cited in 1 Review
Cited in 39 Documents

MSC:

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35R11 Fractional partial differential equations
35L20 Initial-boundary value problems for second-order hyperbolic equations

Keywords:

homotopy perturbation method; fractional differential equation; telegraph equation; numerical examples
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\textit{A. Yıldırım}, Int. J. Comput. Math. 87, No. 13, 2998--3006 (2010; Zbl 1206.65239)
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