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General one-dimensional model of the time-fractional diffusion-wave equation in various geometries

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Main Author: Ján, Terpák
Format: Book
Language:English
Published: Springer 2023
Subjects:
Grünwald-Letnikov definition
Crank-Nicolson scheme
Online Access:https://link.springer.com/article/10.1007/s13540-023-00138-3
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7419
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spelling oai:localhost:PNK-74192023-04-03T03:16:18Z General one-dimensional model of the time-fractional diffusion-wave equation in various geometries Ján, Terpák Grünwald-Letnikov definition Crank-Nicolson scheme CC BY This paper deals with the analysis of the time-fractional diffusion-wave equation as one-dimensional problem in a large plane wall, long cylinder, and sphere. The result of the analysis is the proposal of one general mathematical model that describes various geometries and different processes. Finite difference method for solving the time-fractional diffusion-wave equation using Grünwald-Letnikov definition for homogeneous or inhomogeneous material and for homogeneous or inhomogeneous boundary conditions is described. Dirichlet, Neumann and Robin boundary conditions are considered. Implementation of numerical methods for explicit, implicit, and Crank-Nicolson scheme were realised in MATLAB. Finally, illustrative examples of simulations using the developed toolbox are presented. 2023-04-03T03:16:18Z 2023-04-03T03:16:18Z 2023 Book https://link.springer.com/article/10.1007/s13540-023-00138-3 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7419 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Grünwald-Letnikov definition
Crank-Nicolson scheme
spellingShingle Grünwald-Letnikov definition
Crank-Nicolson scheme
Ján, Terpák
General one-dimensional model of the time-fractional diffusion-wave equation in various geometries
description CC BY
format Book
author Ján, Terpák
author_facet Ján, Terpák
author_sort Ján, Terpák
title General one-dimensional model of the time-fractional diffusion-wave equation in various geometries
title_short General one-dimensional model of the time-fractional diffusion-wave equation in various geometries
title_full General one-dimensional model of the time-fractional diffusion-wave equation in various geometries
title_fullStr General one-dimensional model of the time-fractional diffusion-wave equation in various geometries
title_full_unstemmed General one-dimensional model of the time-fractional diffusion-wave equation in various geometries
title_sort general one-dimensional model of the time-fractional diffusion-wave equation in various geometries
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s13540-023-00138-3
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7419
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score 8.891145

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