A NOVEL CHELYSHKOV APPROACH TECHNIQUE FOR SOLVING FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH MIXED DELAYS

Abstract

This document is to present a improved collocation method based on Chelyshkov polynomials to solve the functional integro-differential equations with mixed delays under the initial-boundary conditions. An efficient error estimation for the Chelyshkov collocation method is also introduced. Some examples from quite different fields of pure and applied mathematics are given to demonstrate the validation and application of the method and a comparison is made between obtained and existing results.