基于双正交小波基的热传导方程数值解法  

Numerical Solution to a Heat Conduction Equation by Means of a Biorthogonal Wavelet Base

作　　者：吴勃英[1] 邓中兴[2] 

机构地区：[1]哈尔滨工业大学数学系,黑龙江哈尔滨150001 [2]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》1999年第5期7-12,共6页Journal of Harbin University of Science and Technology

基　　金：国家自然科学基金

摘　　要：对给定的热传导方程构造一个双正交小波基，从而用Ｇａｌｅｒｋｉｎ方法给出方程数值近似解的小波表示．由于小波基的双正交性，使得用Ｇａｌｅｒｋｉｎ方法得到的矩阵大大简化，因而得到一个数值求解热传导方程的简单、有效方法．The biorthogonal wavelet base for the given heat conduction equation is constructed.So that the Galerkin method can be used and to give out a wavelet expression of the solution tothe equation. Because of the biorthogonality, the obtained matrix by Galerkin method is greatlysimplified, and thus a simple and effective method is obtained for the numerical solving of heatconduction equation.

关 键 词：双正交小波基 热传导方程 GALERKIN方法 数值解 

分 类 号：O551.3[理学—热学与物质分子运动论] O241.82[理学—物理]