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

Beyza Billur İskender Eroğlu

doi:10.53391/mmnsa.1340302

EN

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

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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Details

Primary Language

English

Subjects

Mathematical Physics (Other), Theoretical and Applied Mechanics in Mathematics

Journal Section

Research Article

Authors

Beyza Billur İskender Eroğlu ^*
0000-0003-3575-8404
Türkiye

Publication Date

September 30, 2023

Submission Date

August 9, 2023

Acceptance Date

September 30, 2023

Published in Issue

Year 2023 Volume: 3 Number: 3

DOI

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

IZ

https://izlik.org/JA54RN77AE

APA

İskender Eroğlu, B. B. (2023). Two-dimensional Cattaneo-Hristov heat diffusion in the half-plane. Mathematical Modelling and Numerical Simulation With Applications, 3(3), 281-296. https://doi.org/10.53391/mmnsa.1340302

AMA

1.İskender Eroğlu BB. Two-dimensional Cattaneo-Hristov heat diffusion in the half-plane. MMNSA. 2023;3(3):281-296. doi:10.53391/mmnsa.1340302

Chicago

İskender Eroğlu, Beyza Billur. 2023. “Two-Dimensional Cattaneo-Hristov Heat Diffusion in the Half-Plane”. Mathematical Modelling and Numerical Simulation With Applications 3 (3): 281-96. https://doi.org/10.53391/mmnsa.1340302.

EndNote

İskender Eroğlu BB (September 1, 2023) Two-dimensional Cattaneo-Hristov heat diffusion in the half-plane. Mathematical Modelling and Numerical Simulation with Applications 3 3 281–296.

IEEE

[1]B. B. İskender Eroğlu, “Two-dimensional Cattaneo-Hristov heat diffusion in the half-plane”, MMNSA, vol. 3, no. 3, pp. 281–296, Sept. 2023, doi: 10.53391/mmnsa.1340302.

ISNAD

İskender Eroğlu, Beyza Billur. “Two-Dimensional Cattaneo-Hristov Heat Diffusion in the Half-Plane”. Mathematical Modelling and Numerical Simulation with Applications 3/3 (September 1, 2023): 281-296. https://doi.org/10.53391/mmnsa.1340302.

JAMA

1.İskender Eroğlu BB. Two-dimensional Cattaneo-Hristov heat diffusion in the half-plane. MMNSA. 2023;3:281–296.

MLA

İskender Eroğlu, Beyza Billur. “Two-Dimensional Cattaneo-Hristov Heat Diffusion in the Half-Plane”. Mathematical Modelling and Numerical Simulation With Applications, vol. 3, no. 3, Sept. 2023, pp. 281-96, doi:10.53391/mmnsa.1340302.

Vancouver

1.Beyza Billur İskender Eroğlu. Two-dimensional Cattaneo-Hristov heat diffusion in the half-plane. MMNSA. 2023 Sep. 1;3(3):281-96. doi:10.53391/mmnsa.1340302