| 一类非线性抛物方程全离散Legendre拟谱逼近的大时间性态 |
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| 引用本文： | 曹阳.一类非线性抛物方程全离散Legendre拟谱逼近的大时间性态[J].高师理科学刊,2009,29(6):16-20. |
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| 作者姓名： | 曹阳 |
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| 作者单位： | 黑龙江科技学院,计算机与信息工程学院,黑龙江,哈尔滨,150027 |
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| 摘 要： | 运用Legendre拟谱方法研究一类非线性抛物方程的大时间问题,建立了全离散的拟谱格式.在有限时间区域及0≤t≤+∞上,讨论了半离散系统解的长时间误差估计.
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| 关 键 词： | 非线性抛物方程 全离散Legendre拟谱逼近 大时间误差估计 |
The large time behavior of fully discrete Legendre pseudospectral approximate for a class nonlinear parabolic equations |
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| CAO Yang.The large time behavior of fully discrete Legendre pseudospectral approximate for a class nonlinear parabolic equations[J].Journal of Science of Teachers＇College and University,2009,29(6):16-20. |
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| Authors: | CAO Yang |
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| Institution: | CAO Yang(School of Computer and Information Engineering,Heilongjiang Institute of Science and Technology,Harbin 150027,China) |
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| Abstract: | Researched the large time of a kind of nonlinear parabolic equations using Legendre pseudospectral method,and constructed a fully discrete Legendre pseudospecral scheme.Discussed the error estimation for approximate solution on the finite time interval and the interval0≤ t≤ +∞. |
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| Keywords: | nonlinear parabolic equation fully discrete Legendre pseudospectral approximate error estimation on large time |
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