调和方程自然边界元Shannon小波方法  

SHANNON WAVELET METHOD OF NATURAL BOUNDARY ELEMENT OF HARMONIC EQUATION

作　　者：陈文胜[1] 张永虎[2] 

机构地区：[1]深圳大学理学院数学系,深圳518060 [2]中山大学数学系,广州510275

出　　处：《高等学校计算数学学报》2001年第2期125-134,共10页Numerical Mathematics A Journal of Chinese Universities

基　　金：广东省自然科学基金 (990 2 2 8);深圳大学校内基金 (990 9)资助项目

摘　　要：In this paper, the Neumann boundary value problem for the Laplacian equation on the upper half plane is reduced into the equivalent natural boundary integral equation with the singular kernel of order 2. By virtue of Galerkin Shannon Wavelet method, we obtain the computational formula of the coefficient of stiffness matric in very simple form. Lastly, the solution error estimates and the convergence estimates of the solution are established, and the numerical examples are given.In this paper, the Neumann boundary value problem for the Laplacian equation on the upper half plane is reduced into the equivalent natural boundary integral equation with the singular kernel of order 2. By virtue of Galerkin Shannon Wavelet method, we obtain the computational formula of the coefficient of stiffness matric in very simple form. Lastly, the solution error estimates and the convergence estimates of the solution are established, and the numerical examples are given.

关 键 词：调和方程 自然边界元 SHANNON小波 刚度矩阵 自然边界积分方程 收敛性 误差估计 

分 类 号：O174.22[理学—数学]