Modified homotopy perturbation method for solving linear Fredholm integral equations
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Date
2022-06-10
Journal Title
Journal ISSN
Volume Title
Publisher
University of m'sila
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.
Description
Keywords
Integral equations, Fredholm linear integral equations, Homotopy perturbation method, The modified homotopy perturbation,Fredholm integral equations of the first kind, of the second kind.