| 一类抛物问题的有限元高精度单步格式 |
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| 引用本文： | 熊之光.一类抛物问题的有限元高精度单步格式[J].湘潭师范学院学报(社会科学版),1999(6). |
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| 作者姓名： | 熊之光 |
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| 作者单位： | 湘潭工学院教学与软件研究所!湖南湘潭411201 |
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| 基金项目： | 湘潭工学院发展基金!E1990 5 |
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| 摘 要： | 首先给出了形如 ( 1)的抛物问题的半离散有限元所满足的常微分方程组 ,然后在时间变量上剖分后得到了这类抛物问题的空间和时间变量都有 4阶精度的有限元高精度单步格式 ,并给出了证明
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| 关 键 词： | 有限元高精度单步格式 稳定性 收敛性 误差估计 |
The high accuracy single-step scheme of finite element to a class of parabolic question |
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| XIONG Zhi-guang.The high accuracy single-step scheme of finite element to a class of parabolic question[J].Journal of Xiangtan Normal University(Social Science Edition),1999(6). |
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| Authors: | XIONG Zhi-guang |
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| Institution: | XIONG Zhi-guang |
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| Abstract: | This paper first provides the ordinary differential equations of semi-dispense finite element on the parabolic question of form(1),after dissecting on the time variable the paper obtains the high accuracy single-step scheme of finite element to the class of parabolic question having fourth order accuracy with respect to both time and space variable and gives the provation. |
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| Keywords: | the high accuracy single-step scheme of finite element stability convergence error estimate |
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