He's homotopy perturbation method for solving the space- and time-fractional telegraph equations


Yildirim A.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.87, ss.2998-3006, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 87 Konu: 13
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1080/00207160902874653
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Sayfa Sayıları: ss.2998-3006

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.