Behaviors of the temperature functions due to the change of different parameters of the problem are interpreted by giving 2D and 3D graphics.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, Cattaneo-Hristov heat diffusion is discussed in the half plane for the first time, and solved under two different boundary conditions.
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Key Findings & Data:For the solution purpose, the Laplace, and the sine- and exponential- Fourier transforms with respect to time and space variables are applied, respectively.
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Conclusion & Impact:Behaviors of the temperature functions due to the change of different parameters of the problem are interpreted by giving 2D and 3D graphics.
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.
EROĞLU, B. B. İ. (2023). Two-dimensional Cattaneo-Hristov heat diffusion in the half-plane. Mathematical Modelling and Numerical Simulation with Applications, Cilt: 3 Sayı: 3, 281–296. https://ajindex.com/articles/977606
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