HOMOTOPY PERTURBATION METHOD FOR SOLVING SPECIAL TYPES OF NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

Abstract

Nonlinear phenomena play crucial rule in applied mathematics. Explicit solutions to thenonlinear equations are of fundamental importance. Various methods for obtaining explicitsolutions to nonlinear equations have been proposed.In this work, the homotopy perturbation method is employed for solving the initial valueproblems of special types of nonlinear first order Fredholm integro-differential equations with someillustrative examples. The final results of these examples obtained by means of the homotopyperturbation method where compared with the results obtained from the exact solutions show thatthis method gave effective results.