【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．更多还原

【Abstract】 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.更多还原