Bernstein polynomials for solving nonlinear stiff system of ordinary differential equations

Abstract

In this paper, Bernstein polynomials method (B-polynomials) is applied to solve nonlinear Stiff systems of ordinary differential equations. We present an approximate solution depends on Bernstein polynomials method and collocation points. The procedure of the method will be explained briefly and illustrative examples are included to demonstrate the validity of the method. The results of B-polynomials are compared with other several methods that solved nonlinear stiff system of ordinary differential equations. The results revealed the accuracy of the proposed method.