Wavelet-regularization Method and Extrapolation for Solving Fredholm Integral Equations of the First Kind
Pan Xue-feng · Science Technology and Engineering · 2010
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.