MULTISTAGE BERNSTEIN POLYNOMIALS FOR SOLVING STIFF SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS

Abstract

This paper aims to apply a new modification of the Bernstein polynomials method called Multistage Bernstein polynomials method (MB-polynomials) to solve stiff systems of ordinary differential equations. The MB-polynomials is a simple reliable modification based on the adaptation of the standard Bernstein polynomials method. The results of the MBpolynomials are compared with traditional Bernstein polynomials method and several other methods that solve stiff system of ordinary differential equations. The results revealed the accuracy of the proposed method.