A numerical method for solutions of pantograph type differential equations with variable coefficients using Bernstein polynomials

In this paper, a new numerical method based on the Bernstein polynomials is introduced for the approximate solution of pantograph type differential equations with retarded case or advanced case. Either the approximate solutions that are converging to the exact solutions or exact solutions of the problems are obtained by using this presented process. In addition, some numerical examples are presented to show the properties of the given method and the results are discussed.