In this paper, Cattaneo-Hristov heat diffusion is discussed in the half plane for the first time, and solved under two different boundary conditions. For the solution purpose, the Laplace, and the sine- and exponential- Fourier transforms with respect to time and space variables are applied, respectively. Since the fractional term in the problem is the Caputo-Fabrizio derivative with the exponential kernel, the solutions are in terms of time-dependent exponential and spatial-dependent Bessel functions. Behaviors of the temperature functions due to the change of different parameters of the problem are interpreted by giving 2D and 3D graphics.
Two-dimensional Cattaneo-Hristov equation Laplace transform sine-Fourier transform exponential Fourier transform Caputo-Fabrizio derivative
Birincil Dil | İngilizce |
---|---|
Konular | Matematiksel Fizik (Diğer), Teorik ve Uygulamalı Mekanik Matematiği |
Bölüm | Araştırma Makalesi |
Yazarlar | |
Yayımlanma Tarihi | 30 Eylül 2023 |
Gönderilme Tarihi | 9 Ağustos 2023 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 3 Sayı: 3 |