Yazarlar |
Prof. Dr. Ayşegül ÇETİNKAYA
Ahi Evran Üniversitesi, Türkiye |
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 |