A discontinuous Galerkin finite element method for a class of generalized nerve conduction equations(广义神经传导方程的一种间断Galerkin有限元解法)
通过引进间断Galerkin有限元方法的思路，给出了 一维和二维广义神经传导方程的间断Galerkin有限元解法，并对这种数值解法进行了相应的误差分析，得到其精度为O（Δt+hk+1）；通过对数值例子及其结果的分析，验证了数值计算方法的有效性....
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2012-11-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2012.06.007 |
| _version_ | 1797236005961465856 |
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| author | ZHUHuan(朱欢) SUNFang-yu(孙方裕) |
| author_facet | ZHUHuan(朱欢) SUNFang-yu(孙方裕) |
| author_sort | ZHUHuan(朱欢) |
| collection | DOAJ |
| description | 通过引进间断Galerkin有限元方法的思路，给出了 一维和二维广义神经传导方程的间断Galerkin有限元解法，并对这种数值解法进行了相应的误差分析，得到其精度为O（Δt+hk+1）；通过对数值例子及其结果的分析，验证了数值计算方法的有效性. |
| first_indexed | 2024-04-24T16:56:59Z |
| format | Article |
| id | doaj.art-28c5b8c1c0d346c8aed244faf6336db9 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:56:59Z |
| publishDate | 2012-11-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-28c5b8c1c0d346c8aed244faf6336db92024-03-29T01:58:31ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972012-11-0139663564210.3785/j.issn.1008-9497.2012.06.007A discontinuous Galerkin finite element method for a class of generalized nerve conduction equations(广义神经传导方程的一种间断Galerkin有限元解法)ZHUHuan(朱欢)0SUNFang-yu(孙方裕)1 1.Department of Mathematics, Zhejiang University, Hangzhou 310027, China( 1.浙江大学数学系，浙江 杭州 310027) 1.Department of Mathematics, Zhejiang University, Hangzhou 310027, China( 1.浙江大学数学系，浙江 杭州 310027)通过引进间断Galerkin有限元方法的思路，给出了 一维和二维广义神经传导方程的间断Galerkin有限元解法，并对这种数值解法进行了相应的误差分析，得到其精度为O（Δt+hk+1）；通过对数值例子及其结果的分析，验证了数值计算方法的有效性.https://doi.org/10.3785/j.issn.1008-9497.2012.06.007广义神经传导方程有限体积方法间断有限元方法 |
| spellingShingle | ZHUHuan(朱欢) SUNFang-yu(孙方裕) A discontinuous Galerkin finite element method for a class of generalized nerve conduction equations(广义神经传导方程的一种间断Galerkin有限元解法) Zhejiang Daxue xuebao. Lixue ban 广义神经传导方程 有限体积方法 间断有限元方法 |
| title | A discontinuous Galerkin finite element method for a class of generalized nerve conduction equations(广义神经传导方程的一种间断Galerkin有限元解法) |
| title_full | A discontinuous Galerkin finite element method for a class of generalized nerve conduction equations(广义神经传导方程的一种间断Galerkin有限元解法) |
| title_fullStr | A discontinuous Galerkin finite element method for a class of generalized nerve conduction equations(广义神经传导方程的一种间断Galerkin有限元解法) |
| title_full_unstemmed | A discontinuous Galerkin finite element method for a class of generalized nerve conduction equations(广义神经传导方程的一种间断Galerkin有限元解法) |
| title_short | A discontinuous Galerkin finite element method for a class of generalized nerve conduction equations(广义神经传导方程的一种间断Galerkin有限元解法) |
| title_sort | discontinuous galerkin finite element method for a class of generalized nerve conduction equations 广义神经传导方程的一种间断galerkin有限元解法 |
| topic | 广义神经传导方程 有限体积方法 间断有限元方法 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2012.06.007 |
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