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中文摘要：
利用Legendre小波Galerkin方法将积分方程转化为线性方程组,对n＋1个不同的正则化子分别利用Tikhonov正则化方法求解,得到了n＋1组不同的稳定解。然后应用Newton插值公式求得了正则化子为零时积分方程的最佳稳定解。数值算例表明,方法是非常有效的。
英文摘要：
Legendre wavelets are utilized as a basis in Galerkin method to reduce the integral equations to a system of linear equations,and the Tikhonov regularization method is applied respectively on solving the system with n＋1 different requlariging filter.Then the best stability solution of the integral equation is obtained by using Newton interpolation formula when the regularization filter equals to zero.Numerical examples show that our approach is very effective.
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