| 一类四阶发展方程的混合有限体积格式 |
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| 引用本文： | 冯旭,王同科.一类四阶发展方程的混合有限体积格式[J].天津师范大学学报(自然科学版),2008,28(1):51-54,59. |
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| 作者姓名： | 冯旭 王同科 |
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| 作者单位： | 天津师范大学,数学科学学院,天津,300387 |
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| 摘 要： | 针对一类带对流项的四阶发展方程，运用特征线方法，直接从积分守恒形式出发导出了混合有限体积格式，给出了格式的截断误差，证明了该格式按离散L^2模对时间和空间具有一阶精度．数值算例表明，该格式计算效果良好．
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| 关 键 词： | 四阶发展方程 混合有限体积格式 误差估计 |
| 文章编号： | 1671-1114（2008）01-0051-04 |
| 收稿时间： | 2007-05-01 |
| 修稿时间： | 2007年5月1日 |
A mixed finite volume scheme for a class of forth-order evolution equations |
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| FENG Xu,WANG Tongke.A mixed finite volume scheme for a class of forth-order evolution equations[J].Journal of Tianjin Normal University(Natural Science Edition),2008,28(1):51-54,59. |
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| Authors: | FENG Xu WANG Tongke |
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| Institution: | (College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China) |
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| Abstract: | A mixed finite volume scheme for a class of forth-order evolution equations with convection is deduced from the form of integral conservation directly using characteristic line method. The truncation error is given and it is proved that the scheme has first order accuracy in discrete H1 semi-norm and discrete L2 norm. The scheme is illustrated by numerical example and the result is very satisfactory. |
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| Keywords: | fourth-order evolution equation mixed finite volume scheme error estimate |
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