摘要
通过边界积分方程可以将某些二维偏微分方程转化为一维曲边上的积分方程，为一维小波函数的应用提供了可能．给出了两种利用小波函数作基，建立边界积分方程逼近解空间的方法，并讨论了其收敛性．在解适当光滑的假定下，给出了误差的上界．
It is possible to use wavelets when solving a two dimensional partial differential equation by boundary integral equations (BIE). In this paper two methods are discussed about the construction of an approximate space, which are used to solve certain BIE problems with the wavelets used as the bases. Also, an upper boundary of the error is presented, on condition that the original solution is properly smooth.
出处
《西安电子科技大学学报》
EI
CAS
CSCD
北大核心
1998年第4期434-437,共4页
Journal of Xidian University
