B样条函数在解椭园型方程中的应用

APPLICATION OF B-SPLINE FUNCTIONS TO SOLVING ELLIPTIC DIFFERENTIAL EQUATIONS

用Galerkin方法解二维变系数椭园型方程边值问题的一个关键是选择合适的基函数。本文用一种二元B—样条函数作为基函数。建立二维边值问题所对应的线性方程组,并写出它的具体形式,为实际应用和计算机编程提供方便。

To choose suitable base-functions is a key link on solving he boundary-value problems of two-dimensional elliptic differential equations with variable coefficients by Galerkin method. Using a kind of B-Spline functions with two variables,this paper yields the linear equations corresponding to two-dimensional boundary-value problems,and set up its specific forms,which is advantageous to the practical applications and computer programming.