THE RESOLUTION OF NONLINEAR INTEGRAL-EQUATIONS OF THE FIRST KIND USING THE DECOMPOSITIONAL METHOD OF ADOMIAN

Aims to solve Fredholm and Volterra nonlinear integral equations of th e first kind. Uses the Adomian method, but since these equations are n ot under the canonical form u-Nu = f, proposes some transformations fo r reducing the integral equations to integral equations of the second kind, much more appropriate. Uses a perturbation method for Fredholm e quations. Concerning Volterra equations, uses a differentiation of the original equation, under sufficient regularity conditions, for obtain ing a canonical form of Adomian.