img
The solution of the time fractional diffusion equation by the generalized differential transform method      
Yazarlar
Prof. Dr. Ayşegül ÇETİNKAYA Prof. Dr. Ayşegül ÇETİNKAYA
Ahi Evran Üniversitesi, Türkiye
Prof. Dr. İsmail Onur KIYMAZ Prof. Dr. İsmail Onur KIYMAZ
Ahi Evran Üniversitesi, Türkiye
Özet
In the present paper, a general recurrence relation for determining the solutions of the time-fractional diffusion equation is obtained with the generalized differential transform method. The obtained relation will help us to solve time-fractional diffusion equations with various external forces and initial conditions. Four illustrative examples are given. (C) 2011 Elsevier Ltd. All rights reserved.
Anahtar Kelimeler
Numerical methods | Analytical solution | Time-fractional diffusion equation | Generalized differential transform method | Mittag-Leffler function
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı MATHEMATICAL AND COMPUTER MODELLING
Dergi ISSN 0895-7177
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 05-2013
Cilt No 57
Sayı 9
Sayfalar 2349 / 2354
Doi Numarası 10.1016/j.mcm.2011.12.015
Makale Linki http://linkinghub.elsevier.com/retrieve/pii/S0895717711007783