Identification of a time-dependent diffusivity coefficient in heat-like space-time fractional differential equations
Journal of Amasya University the Institute of Sciences and Technology, cilt.3, sa.2, ss.11-20, 2022 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 3 Sayı: 2
- Basım Tarihi: 2022
- Dergi Adı: Journal of Amasya University the Institute of Sciences and Technology
- Sayfa Sayıları: ss.11-20
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Kocaeli Üniversitesi Adresli: Evet
Özet
The goal of this research is to reveal the unknown time dependent diffusion
coefficient in space-time fractional differential equations by means of fractional Taylor series method. Unlike most methods used in inverse problems,
using no over-measured data is a substantial advantage of this method. As a
result, the unknown diffusion coefficient could be determined with high precision. Illustrative examples shows that the retrieved unknown coefficient and
the solution of the problem are in a high agreement with the exact solution
of the corresponding the inverse problems.