Two-dimensional Cattaneo-Hristov heat diffusion in the half-plane

Year 2023, Volume: 3 Issue: 3, 281 - 296, 30.09.2023

Beyza Billur İSKENDER EROĞLU

https://doi.org/10.53391/mmnsa.1340302

Abstract

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.

Keywords

Two-dimensional Cattaneo-Hristov equation, Laplace transform, sine-Fourier transform, exponential Fourier transform, Caputo-Fabrizio derivative

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