对流扩散方程的样条子域精细积分分步格式  

The alternating segment method of spline sub-domain precise integration for convection-diffusion equation

作　　者：刘利斌[1] 刘焕文[1] 林丽烽[1,2] 

机构地区：[1]广西民族大学数学与计算机科学学院,广西南宁530006 [2]福建农林大学计算机与信息学院,福建福州350002

出　　处：《福建农林大学学报（自然科学版）》2009年第1期103-107,共5页Journal of Fujian Agriculture and Forestry University:Natural Science Edition

基　　金：广西民族民族大学研究生教育创新基金资助项目(GXUN-CHX0756);广西研究生教育创新计划资助项目(2008106080701M369)

摘　　要：基于子域精细积分的思想和分步技术,针对常系数对流扩散方程,提出了一类含参数α>0(α<<h)的样条子域精细积分分步格式,该方法是无条件稳定的,且非常适合于并行计算.数值试验结果表明,该方法是十分有效的,且可用于带有第2、3类边界条件问题的计算.Based on sub-domain precise integration method and cubic spline function approximation, the alternating segment method of spline sub-domain precise integration containing parameter a 〉 0 for the first initial-boundary value problem of convection-diffusion equation was presented in this paper, which was unconditionally stable and had the advantages of parallel computing. The numerical example showed that the accuracy of the method was excellent, and the method could be conveniently used to solve the second and third initial-boundary value problems.

关 键 词：对流扩散方程 三次样条函数 子域精细积分 并行计算 分步格式 

分 类 号：O241.8[理学—计算数学]