Daubechies小波的δ-序列数值求解PDE

Delta-sequence approach to solving PDE based on Daubechies wavelets

提出了一种用广义函数δ 序列数值求解偏微分方程的方法 .这种δ 序列以Daubechies小波为基础 ,具有紧支、对称、拟插值的性质 ,在数值求解偏微分方程中具有计算量小 ,精度高的特点 .以非线性抛物型方程为例 。

A method of solving PDE numerically was studied by using delta sequence. This delta-sequence based on Daubechies wavelet scale function showed the properties of compact support, symmetry and quasi-interpolation. The computational accuracy was tested by linear and non-linear parabolic equations.