Browsing by Author "Zaiter, Wafa"

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    Modified homotopy perturbation method for solving linear Fredholm integral equations
    (University of m'sila, 2022-06-10) Zaiter, Wafa; Supervisor:KHIRANI, Amina
    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.