10. Computational Analysis Of Higher-Order Integro-Differential Equations By Canonical Polynomial Basis Functions

by Raji M. T., Fagbemiro O. and Olajuwon B. I.
Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State, Nigeria

Raji M. T., Fagbemiro O. and Olajuwon B. I.
Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State, Nigeria
Abstract
This paper presents the computational analysis approach to the solution of
higher order Integro- Differential Equations (IDES) via the canonical
polynomial basis function. The canonical polynomial basis 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. The technique has approachable better
performance than variational iteration method when compared.
Keywords: Integro Differential Equations (IDEs), canonical, integral equations.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. The technique has approachable better performance than variational iteration method when compared.

Keywords: Integro Differential Equations (IDEs), canonical, integral equations.