سعید کریمی جعفر بیگلو

Weighted least squares(WLS) method is proposed to solve quadrature discretization of various first kind Fredholm integral equations with continuous kernels. The WLS method uses a new inner product instead of the Euclidean one arising from discretization of L2-inner product by the quadrature formula. On this basis, the pro- posed algorithm generates a sequence of vectors which are approximations of solution at the quadrature points. Numerical experiments on a few model problems are used to illustrate the performance of the new methods compared to the least squares(LS) method.