The solution of the time fractional diffusion equation by the generalized differential transform method
Yazarlar (2)
Prof. Dr. Ayşegül ÇETİNKAYA
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan 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 / Sayı / Sayfa | 57 / 9 / 2349–2354 | DOI | 10.1016/j.mcm.2011.12.015 |
| Makale Linki | http://linkinghub.elsevier.com/retrieve/pii/S0895717711007783 | ||
| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 28 |
| Google Scholar | 53 |