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插值小波自适应求解二维双曲型偏微分方程
Self-Adaptively Solving Two-Dimensional Hyperbolic PDEs Using Interpolating Wavelets
【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。
【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.
【关键词】 插值小波;
自适应性;
二维双曲偏微分方程;
【Key words】 interpolating wavelets; self-adaptability; two-dimensional hyperbolic PDEs;
【Key words】 interpolating wavelets; self-adaptability; two-dimensional hyperbolic PDEs;
- 【文献出处】 北方工业大学学报 ,Journal of North China University of Technology , 编辑部邮箱 ,2004年03期
- 【分类号】O241
- 【被引频次】2
- 【下载频次】169