第二类Fredholm积分方程Galerkin后处理方法

A Post-processing Technique of Galerkin Method for Second Kind Fredholm Integral Equations

用Galerkin后处理方法求解第二类Fredholm积分方程.首先,我们用Galerkin方法求解出第二类Fredholm积分方程的近似解un.其次,在Galerkin基函数下构造出一组较高阶的基函数.最后,用这组高阶基函数对之前的近似解un进行Galerkin后处理,进而提高了近似解的收敛阶.

We develop in this paper a Galerkin post-processing methods for solving Fredholm inte-gral equations of second kind.Firstly,we acquire approximate solution by using Galerkin methods to solve Fredhohn integral equations of the second kind.Secondly,we structure another group basis with higher order.At last,using Galerkin post-processing methods we improve the approximate solution to make convergence order of the approximate solution better.