边界层的小波数值探测

NUMERICAL DETECTION OF BOUNDARY LAYER WITH WAVELET

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.