Abstract:
The Intelligent Support System (ISS) for approximate solving of the Fredholm and Volterra integral equations (IE) of the second kind (ISS IE) utilizes the following results: computing algorithms of spline-collocations method for solving the Fredholm and Volterra IE of the second kind, which essentially use the linear splines as basic functions for modeling and presenting the unknown solutions; a theoretical substantiation of the developed computing algorithms, obtained in the space of continuous functions and in the H¨older spaces, which is based on the results of function approximation with its linear polygons…