Pages: (68-76 )
Abstract
This paper presents the computational analysis approach to the solution of higher order Integro- Differential Equations (IDEs) via the Eulerian polynomial function. The Eulerian polynomial function generated by re-defining the differential part in operator form. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Two numerical examples were considered with the use of Mathematical Software (MATLAB 2009b) to illustrate the performance, efficiency and implementation of the method. Hence, the results showing the performance and effectiveness of the technique were presented in tabular form which has better performance than variational iteration method when compared.
Keywords: Integro Differential Equations (IDEs), Eulerian function, integral equations, polynomial.,