应用数学2007，Vol.20Issue(3)：512-518,7.
小波伽辽金方法应用于变系数波动方程
A Wavelet Galerkin Method Applied to Wave Equations with Variable Coefficients
摘要
Abstract
We consider the problem K(x)u tt=u tt,0＜x＜1,t≥0, where K(x) is bounded below by a positive constant.The solution on the boundary x=0 is a known function g and ux(0,t)=0. This is an ill-posed problem in the sense that a small disturbance on the boundary specification g can produce a big alteration on its solution,if it exists.We consider the existence of a solution u(x,·) ∈L2(R) and we use a wavelet Galerkin method with the Meyer multi-resolution analysis,to filter away the high-frequencies and to obtain well-posed approximating problems in the scaling spaces Vj.We also derive an estimate for the difference between the exact solution of the problem and the orthogonal projection onto Vj.关键词
小波/多分辨分析/伽辽金方法Key words
Wavelet/Multi-resolution analysis/Galerkin method分类
数理科学引用本文复制引用
权豫西,石智..小波伽辽金方法应用于变系数波动方程[J].应用数学,2007,20(3):512-518,7.基金项目
Supported by The National Natural Science Foundation of China(10071068) （10071068）
