摘要
为了对边界层问题进行奇异性数值探测,基于基数B-样条的全正特性和基数B-小波ψm(x)的完全震荡特性,提出了小波配点计算格式,并对具有边界层的常微分方程进行了数值计算,验证了方法的有效性.
In order to detect the singularity with numerical method for the boundary layer problem ,this paper bases on the property called “total positivity ” of cardinal B splines and the property called “complete oscillation ”of cardinal B wavelet,a wavelet collocation method was presented,then we test the efficiency of this algorithm and apply this method to solve the ODE's with boundary layer.
出处
《武汉大学学报(自然科学版)》
CSCD
1998年第1期24-28,共5页
Journal of Wuhan University(Natural Science Edition)
基金
国家自然科学基金
关键词
边界层
小波分析
配点法
boundary layer,wavelet analysis,collocation method