APPLICATIONS OF SUMUDU TRANSFORM TO SOLVE SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS

Abstract

In this research solutions of Ordinary Differential Equations are obtained by using Sumudu transform. The research covers vitally important areas regarding Sumudu transform with details. Chapter one defines Sumudu transform, finds out Sumudu transform for some special functions. Shows how Sumudu transform is connected to Laplace Transform as well as proves some important theorems that widely used Laplace transform. Chapter two introduces Sumudu transform for derivatives in order to be used later in solving ordinary differential equations. Some examples of boundary value problems also covered in this chapter. In chapter three the solutions of linear ODEs with constant coefficients is obtained by applying Sumudu transform to them, and some applications. From the above summary of chapters organization we conclude that Sumudu transform can be regarded a competitor of Laplace transform in solving differential equations.