Modified homotopy perturbation method for solving linear Fredholm integral equations

Abstract

In this thesis, we study Fredholm’s linear integral equations of the first and second kind, particularly whose the general form is (which are written in the form) u(x) = f(x) + λ Z b a K(x, t)u(t)dt (Second kind), f(x) + λ Z b a K(x, t)u(t)dt = 0 (F irst kind), where k(., .)and f(.) are known continuous functions with k(x, t) = g(x)h(t). To solve this type of equation we use the homotopy perturbation method and the modified one. and then we compare them through selected examples.