小波伽辽金方法应用于变系数波动方程  

Wavelet Galerkin method applied to wave equations with variable coefficients

作　　者：权豫西[1] 石智[1] 

机构地区：[1]西安建筑科技大学理学院,陕西西安710055

出　　处：《兰州大学学报（自然科学版）》2008年第5期112-114,共3页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金(10071068)资助.

摘　　要：对于病态方程K(x)u_(xx)=u_(tt),0<x<1,t≥0,其中K(x)≥α≥0,u(0,t)=g,u_x(0,t)=0,利用小波伽辽金方法和Meyer多分辨分析将其转化为良态方程的基础上,给出方程的准确解与它在V_j上和定义在V_(j+1)空间的逼近问题的的正交投影之间的误差估计.Ill-posed problem K（x）uxx = utt, 0 〈 x 〈 1, t ≥0, where K（x） is bounded below by a positive constant α, u（0, t） = g, ux（0, t） = 0. Utilizing a wavelet Galerkin method with the Meyer multi-resolution analysis, the ill-posed problem was transformed into well-posed problems. At the same time, an estimate was derived for the difference between the exact solution to the problem and the orthogonal projection onto Vj of the solution of the approximation problem defined in Vj＋1.

关 键 词：小波 多分辨分析 伽辽金方法 

分 类 号：O241.1[理学—计算数学]