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二维对流扩散方程的紧致差分格式
  • 期刊名称：天津师范大学学报:自然科学版
  • 时间：0
  • 页码：11-16
  • 语言：中文
  • 分类：O241.82[理学—计算数学;理学—数学]
  • 作者机构：[1]天津师范大学数学科学学院,天津300387, [2]天津大学电子信息科学学院,天津300072
  • 相关基金：国家自然科学基金（60876009）; 天津市应用基础及前沿技术研究计划重点项目（09JCZDJC16600）
  • 相关项目：InAlN/GaN无应变新异质结场效应晶体管材料研究
作者： 王峰峰|齐海涛|王彩华|
关键词： 对流扩散方程, 紧致差分格式, 对流占优问题, convection-diffusion equations, compact difference scheme, convection dominating problem
中文摘要：

总结了近些年出现的针对二维对流扩散方程给出的多种差分格式;随后对一维模型给出了一种基本二阶格式,然后将结果直接推广应用到二维情形,得到一种新的无条件稳定的二阶五点差分格式;最后通过数值实验与前面诸多格式比较,结果表明该格式具有非常好的计算效果.

英文摘要：

Firstly,several difference schemes for two-dimentional convection-diffusion equations in recent years are summarized.Secondly,a second-order basic scheme for one-dimentional model is given,and then a five-point new scheme with unconditional stablity is constructed by applying the basic scheme in two-dimentional equations.Finally,numerical experiments reveal the good efficiency of this scheme.

同期刊论文项目
InAlN/GaN无应变新异质结场效应晶体管材料研究
期刊论文 33 会议论文 10 获奖 1 专利 4
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