Solving Integral Equation Of The First Kind Using Radial Basis Functions

Radial basis functions provide highly useful and flexibel inter-polants,which have been used in the numerical solution of partial differential equations.In this thesis we apply it to get the stable solution of integral equation of the first kind. The related problem of how to construct the finite dimensional approximation of the integral operator by using Radial basis functions,formulate the discrete Euler's equation with its trigonaliza-tion,fastly realize the rules of selecting the Regularization parameter are discussed. Meanwhile ,the corresponding algorithms are presented and the numerical tests are also given. The tested results show that the proposed algorithms in this paper are stable and highly effective.