Power series variation iteration method for solving fourth order boundary value integro-differential equations

Abstract

In this paper, we implemented the power series variation iteration method for solving fourth order boundary value integro-differential equations. The method is a mixture of power series approximation method (PSAM) and the variation iteration method (VIM). In this method, the approximate solution is given as a power series. The series solution is made to satisfy the given boundary conditions and hence, is the initial approximation. The accuracy of the method was illustrated using two examples with known analytic solution. All numerical evidences were obtained by using the computer application software Maple 18.

Keywords: Power series, Variation iteration method, Approximate solution, Lagrange multiplier, Integro-differential equations, Boundary value problems