【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.更多还原

【Abstract】 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.更多还原