Time-Fractional Diffusion with Mass Absorption in a Half-Line Domain due to Boundary Value of Concentration Varying Harmonically in Time

The time-fractional diffusion equation with mass absorption is studied in a half-line domain under the Dirichlet boundary condition varying harmonically in time. The Caputo derivative is employed. The solution is obtained using the Laplace transform with respect to time and the sin-Fourier transform...

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Autores principales: Povstenko, Yuriy, Kyrylych, Tamara
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512865/
https://www.ncbi.nlm.nih.gov/pubmed/33265436
http://dx.doi.org/10.3390/e20050346
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author Povstenko, Yuriy
Kyrylych, Tamara
author_facet Povstenko, Yuriy
Kyrylych, Tamara
author_sort Povstenko, Yuriy
collection PubMed
description The time-fractional diffusion equation with mass absorption is studied in a half-line domain under the Dirichlet boundary condition varying harmonically in time. The Caputo derivative is employed. The solution is obtained using the Laplace transform with respect to time and the sin-Fourier transform with respect to the spatial coordinate. The results of numerical calculations are illustrated graphically.
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spelling pubmed-75128652020-11-09 Time-Fractional Diffusion with Mass Absorption in a Half-Line Domain due to Boundary Value of Concentration Varying Harmonically in Time Povstenko, Yuriy Kyrylych, Tamara Entropy (Basel) Article The time-fractional diffusion equation with mass absorption is studied in a half-line domain under the Dirichlet boundary condition varying harmonically in time. The Caputo derivative is employed. The solution is obtained using the Laplace transform with respect to time and the sin-Fourier transform with respect to the spatial coordinate. The results of numerical calculations are illustrated graphically. MDPI 2018-05-06 /pmc/articles/PMC7512865/ /pubmed/33265436 http://dx.doi.org/10.3390/e20050346 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Povstenko, Yuriy
Kyrylych, Tamara
Time-Fractional Diffusion with Mass Absorption in a Half-Line Domain due to Boundary Value of Concentration Varying Harmonically in Time
title Time-Fractional Diffusion with Mass Absorption in a Half-Line Domain due to Boundary Value of Concentration Varying Harmonically in Time
title_full Time-Fractional Diffusion with Mass Absorption in a Half-Line Domain due to Boundary Value of Concentration Varying Harmonically in Time
title_fullStr Time-Fractional Diffusion with Mass Absorption in a Half-Line Domain due to Boundary Value of Concentration Varying Harmonically in Time
title_full_unstemmed Time-Fractional Diffusion with Mass Absorption in a Half-Line Domain due to Boundary Value of Concentration Varying Harmonically in Time
title_short Time-Fractional Diffusion with Mass Absorption in a Half-Line Domain due to Boundary Value of Concentration Varying Harmonically in Time
title_sort time-fractional diffusion with mass absorption in a half-line domain due to boundary value of concentration varying harmonically in time
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512865/
https://www.ncbi.nlm.nih.gov/pubmed/33265436
http://dx.doi.org/10.3390/e20050346
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AT kyrylychtamara timefractionaldiffusionwithmassabsorptioninahalflinedomainduetoboundaryvalueofconcentrationvaryingharmonicallyintime

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