Comparison of some numerical methods for the solution of fourth order integro-differential equations

Abstract

The numerical methods for solving fourth order integro-differential equations are presented. The methods are based on replacement of the unknown function by power series and Legendre polynomials of appropriate degree. The proposed methods convert the resulting equation by some examples considered show that the standard collocation method proved superior to the perturbed collocation method. Two examples are considered to illustrate the efficiency and accuracy of the methods.