Fractionalizing, coupling and methods for the coupled system of two-dimensional heat diffusion models
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 couple...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023566 |
| _version_ | 1797861259620646912 |
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| author | Rahmatullah Ibrahim Nuruddeen J. F. Gómez-Aguilar José R. Razo-Hernández |
| author_facet | Rahmatullah Ibrahim Nuruddeen J. F. Gómez-Aguilar José R. Razo-Hernández |
| author_sort | Rahmatullah Ibrahim Nuruddeen |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-09T21:59:18Z |
| format | Article |
| id | doaj.art-0756578acd30447fa1026578070566fa |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-09T21:59:18Z |
| publishDate | 2023-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-0756578acd30447fa1026578070566fa2023-03-24T01:17:59ZengAIMS PressAIMS Mathematics2473-69882023-03-0185111801120110.3934/math.2023566Fractionalizing, coupling and methods for the coupled system of two-dimensional heat diffusion modelsRahmatullah Ibrahim Nuruddeen 0J. F. Gómez-Aguilar 1José R. Razo-Hernández 21. Department of Mathematics, Federal University Dutse, Jigawa State, Nigeria2. CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490 Cuernavaca, Morelos, México3. 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, MéxicoThe 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.https://www.aimspress.com/article/doi/10.3934/math.2023566fractionalizationcouplingsintegral transformslaplace decomposition methodheat diffusion models |
| spellingShingle | Rahmatullah Ibrahim Nuruddeen J. F. Gómez-Aguilar José R. Razo-Hernández Fractionalizing, coupling and methods for the coupled system of two-dimensional heat diffusion models AIMS Mathematics fractionalization couplings integral transforms laplace decomposition method heat diffusion models |
| title | Fractionalizing, coupling and methods for the coupled system of two-dimensional heat diffusion models |
| title_full | Fractionalizing, coupling and methods for the coupled system of two-dimensional heat diffusion models |
| title_fullStr | Fractionalizing, coupling and methods for the coupled system of two-dimensional heat diffusion models |
| title_full_unstemmed | Fractionalizing, coupling and methods for the coupled system of two-dimensional heat diffusion models |
| title_short | Fractionalizing, coupling and methods for the coupled system of two-dimensional heat diffusion models |
| title_sort | fractionalizing coupling and methods for the coupled system of two dimensional heat diffusion models |
| topic | fractionalization couplings integral transforms laplace decomposition method heat diffusion models |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023566 |
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