【摘要】 考虑核函数有弱奇性的第二类Fredholm积分方程的自适应数值解法, 讨论如何对核函数进行分片多项式插值逼近, 如何确定相关的参数,最后给出数值例子说明自适应解法的可行性.更多还原

【Abstract】 An adaptive method for the numerical solution of Fredholm integral equations of the second kind with weakly singular kernel is proposed. The approximation of weakly singular kernel functions with piece-wise interpolating polynomi- als and the determination of relevant parameters are discussed. Numerical examples are given to illustrate the feasibility of our adaptive method.更多还原