变系数偏微分方程的区间样条小波配点法

Solution to partial differential equation with cubic spline interval wavelet

研究了三次样条插值的小波插值函数 ,给出了插值函数的误差估计式 ,提出了用两个一阶导算了矩阵替换二阶导算子的替代算法 .对 Burgers方程进行了验算 .

This paper deals with the optimal approximation property as the cubic spline interval wavelet is used in the interpolation. The interpolation error is also discussed. A new algorithm is presented in which two one\|order differential matrixes are used to substitute for the two\|order one. The numerical solution of Burgers equation has been derived. And it is proved that the coefficient is somewhat larger.