General one-dimensional model of the time-fractional diffusion-wave equation in various geometries
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s13540-023-00138-3 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7419 |
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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 |
| _version_ |
1762184302023409664 |
| score |
8.891145 |