Fractionalizing, coupling and methods for the coupled system of two-dimensional heat diffusion models-Reference-Cited by-同舟云学术

Fractionalizing, coupling and methods for the coupled system of two-dimensional heat diffusion models

Published:2023 Issue:5 Volume:8 Page:11180-11201
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Nuruddeen Rahmatullah Ibrahim¹,Gómez-Aguilar J. F.²,Razo-Hernández José R.³

Affiliation:

1. Department of Mathematics, Federal University Dutse, Jigawa State, Nigeria

2. CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490 Cuernavaca, Morelos, México

3. Departamento de Ingeniería Electromecánica, Tecnológico Nacional de México, Instituto Tecnológico Superior de Irapuato (ITESI), Carr. Irapuato-Silao km 12.5, Colonia El Copal, C.P. 36821, Irapuato, Guanajuato, México

Abstract

<abstract><p>The present manuscript gives an overview of how two-dimensional heat diffusion models underwent a fractional transformation, system coupling as well as solution treatment. The governing diffusion models, which are endowed with Caputo's fractional-order derivatives in time $ t $, are suitably coupled using the (1) convection phenomenon, (2) interfacial coupling by considering the mechanism of a double-layered bar, and the (3) nonlinear coupling due to temperature-dependent thermal diffusivities. Semi-analytical and analytical methods are considered for the solution treatment. Moreover, we seek a computational environment to graphically illustrate the systems' response to different fractional orders in each case through the determined diffusional fields. Besides, we supply certain concluding notes at the end.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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