球面上第二类Fredholm积分方程配置方法

Collocation for fredholm integral equation of the second kind on global surface

球面上第二类 Fredholm积分方程经球坐标变换可化为矩形域 H0 上的问题求解 ,用有限元方法构造 H0 上的插值函数 ,它必须满足在 H0 的左、右两边连续 ,在上、下两加插值唯一。然后用配置方法求方程的近似解。

In this paper,we consider solving Fredholm integral equation of the second kind on a global surface collocation method.The problem is transferred by mapping onto a rectagle H 0 .Interpolating function is continue on left and right sides of H 0.Base functions are constructed by using a tensor product of polynomial spines.