Analytical solution of the generalized muti-term time-fractional diffusion equation in two-dimensions with mixed boundary condition(混合边界条件下广义二维多项时间分数阶扩散方程的解析解)
广义多项时间分数阶扩散方程已被用于描述一些重要的物理现象,目前,有关该类方程在高维情形下满足混合边界条件的研究仍较少.利用分离变量法考虑有界区域上广义二维多项时间分数阶扩散方程,方程中关于时间变量的分数阶导数采用Caputo分数阶导数的定义,其阶分别定义在[0,1],[1,2].而关于空间变量的偏导数则定义为传统的整数阶导数(二阶),得到了有界区域上广义二维多项时间分数阶扩散方程满足非齐次混合边界条件的解析解.亦可用于求解其他类型的满足不同边界条件的分数阶微分方程的解析解....
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Format: | Article |
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Zhejiang University Press
2016-07-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
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Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2016.04.005 |
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author | WANGXuebin(王学彬) |
author_facet | WANGXuebin(王学彬) |
author_sort | WANGXuebin(王学彬) |
collection | DOAJ |
description | 广义多项时间分数阶扩散方程已被用于描述一些重要的物理现象,目前,有关该类方程在高维情形下满足混合边界条件的研究仍较少.利用分离变量法考虑有界区域上广义二维多项时间分数阶扩散方程,方程中关于时间变量的分数阶导数采用Caputo分数阶导数的定义,其阶分别定义在[0,1],[1,2].而关于空间变量的偏导数则定义为传统的整数阶导数(二阶),得到了有界区域上广义二维多项时间分数阶扩散方程满足非齐次混合边界条件的解析解.亦可用于求解其他类型的满足不同边界条件的分数阶微分方程的解析解. |
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issn | 1008-9497 |
language | zho |
last_indexed | 2024-04-24T16:53:22Z |
publishDate | 2016-07-01 |
publisher | Zhejiang University Press |
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series | Zhejiang Daxue xuebao. Lixue ban |
spelling | doaj.art-34c29af6358f48e3bc88041d07b009af2024-03-29T01:58:36ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972016-07-0143440641010.3785/j.issn.1008-9497.2016.04.005Analytical solution of the generalized muti-term time-fractional diffusion equation in two-dimensions with mixed boundary condition(混合边界条件下广义二维多项时间分数阶扩散方程的解析解)WANGXuebin(王学彬)0https://orcid.org/0000-0002-1066-3524School of Mathematics and Computer, Wuyi University, Wuyishan 354300, Fujian Province, China(武夷学院数学与计算机学院,福建 武夷山 354300)广义多项时间分数阶扩散方程已被用于描述一些重要的物理现象,目前,有关该类方程在高维情形下满足混合边界条件的研究仍较少.利用分离变量法考虑有界区域上广义二维多项时间分数阶扩散方程,方程中关于时间变量的分数阶导数采用Caputo分数阶导数的定义,其阶分别定义在[0,1],[1,2].而关于空间变量的偏导数则定义为传统的整数阶导数(二阶),得到了有界区域上广义二维多项时间分数阶扩散方程满足非齐次混合边界条件的解析解.亦可用于求解其他类型的满足不同边界条件的分数阶微分方程的解析解.https://doi.org/10.3785/j.issn.1008-9497.2016.04.005混合边界条件分离变量法分数阶扩散方程 |
spellingShingle | WANGXuebin(王学彬) Analytical solution of the generalized muti-term time-fractional diffusion equation in two-dimensions with mixed boundary condition(混合边界条件下广义二维多项时间分数阶扩散方程的解析解) Zhejiang Daxue xuebao. Lixue ban 混合边界条件 分离变量法 分数阶扩散方程 |
title | Analytical solution of the generalized muti-term time-fractional diffusion equation in two-dimensions with mixed boundary condition(混合边界条件下广义二维多项时间分数阶扩散方程的解析解) |
title_full | Analytical solution of the generalized muti-term time-fractional diffusion equation in two-dimensions with mixed boundary condition(混合边界条件下广义二维多项时间分数阶扩散方程的解析解) |
title_fullStr | Analytical solution of the generalized muti-term time-fractional diffusion equation in two-dimensions with mixed boundary condition(混合边界条件下广义二维多项时间分数阶扩散方程的解析解) |
title_full_unstemmed | Analytical solution of the generalized muti-term time-fractional diffusion equation in two-dimensions with mixed boundary condition(混合边界条件下广义二维多项时间分数阶扩散方程的解析解) |
title_short | Analytical solution of the generalized muti-term time-fractional diffusion equation in two-dimensions with mixed boundary condition(混合边界条件下广义二维多项时间分数阶扩散方程的解析解) |
title_sort | analytical solution of the generalized muti term time fractional diffusion equation in two dimensions with mixed boundary condition 混合边界条件下广义二维多项时间分数阶扩散方程的解析解 |
topic | 混合边界条件 分离变量法 分数阶扩散方程 |
url | https://doi.org/10.3785/j.issn.1008-9497.2016.04.005 |
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