Approximate solution of boundary value problems of fourth-order integro-differential equation

In this paper an approximate analytical method for solving a class of two-point boundary value problems for fourth order integro-differential equations is presented. The method is based upon the Laplace transform, perturbation technique and polynomial series. Theoretical considerations are discussed. Illustrative examples have been discussed to demonstrate the validity and applicability of the technique. The results show that the method is of high accuracy and efficient for solving integro-differential equations.

Keywords:

boundary value problems , fourth-order integro-differential equation , perturbation technique , Laplace transform , Polynomial series