He's homotopy perturbation method for solving the space- and time-fractional telegraph equations
Articles > Article ยท 2010
Authors: Ahmet YILDIRIM
International Journal of Computer Mathematics, Journal Indexed in SCI Expanded, International, WoS, 2010, vol 87, pp 2998-3006
DOI: 10.1080/00207160902874653
Summary
In this study, homotopy perturbation method (HPM) is used to obtain analytic and approximate solutions of the 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.