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插值小波自适应求解二维双曲型偏微分方程
引用本文:傅晓玲,马仝分.插值小波自适应求解二维双曲型偏微分方程[J].北方工业大学学报,2004,16(3):27-31.
作者姓名:傅晓玲  马仝分
作者单位:北方工业大学信息工程学院,100041,北京;北方工业大学信息工程学院,100041,北京
摘    要:借助插值小波理论,构造了用插值小波求解二维双曲偏微分方程的自适应算法.该算法可用于求解带有奇异性和瞬时突变性的一类偏微分方程.

关 键 词:插值小波  自适应性  二维双曲偏微分方程

Serf-Adaptively Solving Two-Dimensional Hyperbolic PDEs Using Interpolating Wavelets
Fu Xiaoling Ma Tongfen.Serf-Adaptively Solving Two-Dimensional Hyperbolic PDEs Using Interpolating Wavelets[J].Journal of North China University of Technology,2004,16(3):27-31.
Authors:Fu Xiaoling Ma Tongfen
Abstract:By means of interpolating wavelets theory, we construct an self-adaptive algorithm to solve twodimensional hyperbolic PDEs. The numerical experiments show the method is efficienct when it is applied to problems where solutions are smooth in most of the domain with small areas of sharp variations.
Keywords:interpolating wavelets  self-adaptability  two-dimensional hyperbolic PDEs
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