Approximate solutions of non-singular linear differential equation using Bernstein operational matrix of differentiation.

Abstract

In this paper, exact and approximate analytical solutions of a non-singular linear differential equations are obtained by the Bernstein operational matrix of differentiation. Different from other numerical techniques, Bernstein polynomials and their properties are employed for deriving a general procedure for forming this matrix. In The present paper we used Bernstein operational matrix to solve a linear non-singular boundary and initial value problems it was solved by wavelet analysis method. We report our numerical finding and compare it with Wavelet method. Our results become more accurate.