He's homotopy perturbation method for solving the space- and time-fractional telegraph equations
Makaleler > Tam Makale · 2010
Yazarlar: Ahmet YILDIRIM
International Journal of Computer Mathematics, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2010, cilt 87, ss 2998-3006
DOI: 10.1080/00207160902874653
Özet
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.