Burgers方程的Wavelet-Galerkin方法  

The Wavelet-Galerkin method for Burgers equation

作　　者：王晶萍[1] 谢树森[1] 

机构地区：[1]中国海洋大学数学系,青岛266071

出　　处：《黑龙江大学自然科学学报》2007年第4期534-538,542,共6页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(40276008)

摘　　要：对一维非线性Burgers方程的混合问题,基于具有紧支撑的Daubechies小波基,给出Wavelet-Galerkin逼近方法.同时给出关联系数的定义以及计算方法.数值实验结果表明Wavelet-Galerkin方法是数值求解Burgers方程的有效算法.The Wavelet -Galerkin method is proposed to solve the mixed problem of one -dimention nonlinear Burgers equations by using the Daubechies＇ wavelet basis. The definition of connection coefficients is given and an algorithm for computing them was presented. The numerical results were used to validate the proposed Wavelet - Galerkin method as an effective numerical algorithm to solve Burgers equations.

关 键 词：BURGERS方程 DAUBECHIES小波 Wavelet-Galerkin 关联系数 

分 类 号：O241[理学—计算数学]