Method of fundamental solutions based on geodesic distance for anisotropic heat conduction problems(测地距离的基本解方法求解各向异性热传导方程)
基本解方法属于径向基函数类方法，它使用微分算子的基本解作为基于欧氏距离的径向基函数.借助测地距离，给出了求解各向异性材料中的热传导方程的基本解方法.该方法无需对时间进行离散或Laplace变换，也无需进行变量变换，而是直接在整个时间空间区域上进行求解.文中给出了数值例子，来验证基于测地距离的基本解方法在求解该各向异性问题时的稳定性和有效性....
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2007-07-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/zjup/1008-9497.2007.34.4.390-395 |
| _version_ | 1827303450877100032 |
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| author | DONGChao-feng(董超峰) LIQi-hui(李启会) |
| author_facet | DONGChao-feng(董超峰) LIQi-hui(李启会) |
| author_sort | DONGChao-feng(董超峰) |
| collection | DOAJ |
| description | 基本解方法属于径向基函数类方法，它使用微分算子的基本解作为基于欧氏距离的径向基函数.借助测地距离，给出了求解各向异性材料中的热传导方程的基本解方法.该方法无需对时间进行离散或Laplace变换，也无需进行变量变换，而是直接在整个时间空间区域上进行求解.文中给出了数值例子，来验证基于测地距离的基本解方法在求解该各向异性问题时的稳定性和有效性. |
| first_indexed | 2024-04-24T17:01:05Z |
| format | Article |
| id | doaj.art-dd8e95f4ad1d4bcda2c56cfa72091f63 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T17:01:05Z |
| publishDate | 2007-07-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-dd8e95f4ad1d4bcda2c56cfa72091f632024-03-29T01:58:24ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972007-07-01344390395zjup/1008-9497.2007.34.4.390-395Method of fundamental solutions based on geodesic distance for anisotropic heat conduction problems(测地距离的基本解方法求解各向异性热传导方程)DONGChao-feng(董超峰)0LIQi-hui(李启会)1 1.Department of Mathematics, Zhejiang University, Hangzhou 310027, China( 1.浙江大学数学系，浙江 杭州 310027) 2.Department of Mathematics, Jiaxing College, Jiaxing 314001, China( 2.嘉兴学院数学系，浙江 嘉兴 314001)基本解方法属于径向基函数类方法，它使用微分算子的基本解作为基于欧氏距离的径向基函数.借助测地距离，给出了求解各向异性材料中的热传导方程的基本解方法.该方法无需对时间进行离散或Laplace变换，也无需进行变量变换，而是直接在整个时间空间区域上进行求解.文中给出了数值例子，来验证基于测地距离的基本解方法在求解该各向异性问题时的稳定性和有效性.https://doi.org/zjup/1008-9497.2007.34.4.390-395测地距离基本解方法径向基函数热传导方程各向异性无网格方法 |
| spellingShingle | DONGChao-feng(董超峰) LIQi-hui(李启会) Method of fundamental solutions based on geodesic distance for anisotropic heat conduction problems(测地距离的基本解方法求解各向异性热传导方程) Zhejiang Daxue xuebao. Lixue ban 测地距离 基本解方法 径向基函数 热传导方程 各向异性 无网格方法 |
| title | Method of fundamental solutions based on geodesic distance for anisotropic heat conduction problems(测地距离的基本解方法求解各向异性热传导方程) |
| title_full | Method of fundamental solutions based on geodesic distance for anisotropic heat conduction problems(测地距离的基本解方法求解各向异性热传导方程) |
| title_fullStr | Method of fundamental solutions based on geodesic distance for anisotropic heat conduction problems(测地距离的基本解方法求解各向异性热传导方程) |
| title_full_unstemmed | Method of fundamental solutions based on geodesic distance for anisotropic heat conduction problems(测地距离的基本解方法求解各向异性热传导方程) |
| title_short | Method of fundamental solutions based on geodesic distance for anisotropic heat conduction problems(测地距离的基本解方法求解各向异性热传导方程) |
| title_sort | method of fundamental solutions based on geodesic distance for anisotropic heat conduction problems 测地距离的基本解方法求解各向异性热传导方程 |
| topic | 测地距离 基本解方法 径向基函数 热传导方程 各向异性 无网格方法 |
| url | https://doi.org/zjup/1008-9497.2007.34.4.390-395 |
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