摘要
本文将小波分析方法用于一类奇异积分方程的计算,建立了小波展开的非标准形式与标准形式转换关系,根据Mallat小波快速算法,设计了此类积分的计算算法,并通过实际例子验证了方法的有效性,计算具有速度快、运算量少的特点.
In this paper a numerical method to calculate one-dimension singular integrals is presented by using wavelet analysis. The transform relationship has been found between the nonstandard form of wavelet represent of a function and standard form. Using Mallat Algorithm,a calculation algorithm of this problem is given,and numerical results show it is efficiently. It needs less calculations and rapidly than tradition mehods.
出处
《数学理论与应用》
2002年第3期56-60,共5页
Mathematical Theory and Applications
