| 解四阶抛物型方程高精度恒稳的隐式格式 |
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| 引用本文： | 曾文平. 解四阶抛物型方程高精度恒稳的隐式格式[J]. 华侨大学学报(自然科学版), 1996, 0(4): 331-335. DOI: 10.11830/ISSN.1000-5013.1996.04.0331 |
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| 作者姓名： | 曾文平 |
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| 作者单位： | 华侨大学管理信息科学系 |
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| 基金项目： | 国务院侨办与福建省自然科学基金资助 |
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| 摘 要： | 对四阶抛物型方程ut+uxxxx=0构造了一类三层隐式差分格式,它们含有非负参数α1,α2和α3,其局部截断误差至少是O(Δt2+Δt6).在条件α1≥α3≥0,0≤α2≤及α1+α2+α3=1之下,该格式绝对稳定且可用追赶法求解.
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| 关 键 词： | 四阶抛物型方程 绝对稳定 高精度 隐式差分格式 |
A Class of High Accurate and Absolutely Stable Implicit Difference Schemes for Solving Four Order Parabolic Equations |
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| Zeng Wenping. A Class of High Accurate and Absolutely Stable Implicit Difference Schemes for Solving Four Order Parabolic Equations[J]. Journal of Huaqiao University(Natural Science), 1996, 0(4): 331-335. DOI: 10.11830/ISSN.1000-5013.1996.04.0331 |
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| Authors: | Zeng Wenping |
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| Abstract: | A class of three layered implicit difference schemes are constructed for solving four order parabolic equations Ut+uxxxx=0.They contain nonnegative parameters a1,a2 and a3,with local trunCation errors of at least. Under the conditions of a1+a2+a3=1,a1≥a3≥ |
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| Keywords: | four order parabolic equation absolutely stable high accurate implicit difference scheme |
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