An Effective Computational Method for Periodical Model with Small Parameter

摘要：

In this paper the equation with periodical condition and small parameter is considered. The equation will lose boundary condition and lead to large oscillation in boundary layer. The properties of the equation is studied firstly. The analytical solution is decomposed into the smooth component and the singular component. The asymptotic solution is proposed secondly. The asymptotic solution is used to solve the equation outside the boundary layer. Based on Shishkin type mesh, fitted mesh metbod is presented for boundary layer thirdly. Error estimation of our metbod is studied finally.

关键词： periodical condition asymptotic solution fitted mesh method error estimation

作者: Xin Cai

作者单位: School of Science Zhejiang University of Science and Technology Hangzhou, China

会议类型: 国际会议

会议名称: The 2nd IEEE International Conference on Advanced Computer Control(第二届先进计算机控制国际会议 ICACC 2010)

会议地点: 沈阳

会议语种:英文

页码: 414-417

在线出版日期: 2010-03-27（万方平台首次上网日期，不代表论文的发表时间）