About the approximate solution of the usual and generalized Hilbert boundary value problems for analytical functions

In this article the methods for obtaining the approximate solution of usual and generalized Hilbert boundary value problems are proposed. The method of solution of usual Hilbert boundary value problem is based on the theorem about the representation of the kernel of the corresponding integral equation by τ = t and on the earlier proposed method for the computation of the Cauchy-type integrals. The method for approximate solution of the generalized boundary value problem is based on the method for computation of singular integral of the form (formula presented.) proposed by the author. All methods are implemented with the Mathcad and Maple.