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一种求解KdV-Burgers方程的迎风超紧致差分格式

An upwind super compact difference scheme for KdV-Burgers equation
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摘要 提出了一种迎风超紧致差分格式(USCD),利用Fourier分析方法对该格式的数值特性进行了分析,并与其他的迎风差分格式和迎风紧致差分格式做了对比.结果反映出USCD具有更好的分辨率和更低的耗散.通过对Burgers方程和KdV-Burgers方程的数值模分析,进一步证实了USCD格式有更高的精度和对长时间演化问题的有效性. In this paper , an upwind super compact difference scheme （USCD ） is proposed . The numerical characteristics of USCD are analyzed by using Fourier analysis , and compared with other upwind difference schemes and upwind compact difference schemes . According to analysis , it is found that USCD has better resolution and lower dissipation . Numerical solutions of the Burgers and KdV‐Burgers equations show that the USCD scheme has high‐order accuracy and is effective for long time evolution .
作者 孙建安 郭小霞 贾伟
机构地区 西北师范大学物理与电子工程学院
出处 《西北师范大学学报（自然科学版）》 CAS 北大核心 2015年第5期38-42,49,共6页 Journal of Northwest Normal University(Natural Science)
基金 国家自然科学基金资助项目(10875098)
关键词 迎风超紧致差分格式(USCD) KDV-BURGERS方程 数值解 upwind super compact difference scheme（USCD） KdV-Burgers equation numerical solutions
分类号 O241.82 [理学—计算数学]
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参考文献11

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二级参考文献31

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共引文献10

西北师范大学学报（自然科学版）
2015年 第5期

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