Spline Collocation For 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 the integral equations, whose the general form is
u (x) = f (x) +
R (x)
(x)
k (x; t) u (t) dt
where (x) and (x) the limits of integration and u(x) unknown function; K(x; t)the
kernel and f(x) function in equation, and is a constant parameter.
particularly, we study the Fredholm Integral equation, we
1. Outline these equation using basic deÖnitions.
2. Discuss the existence and uniqueness of solutions.
3. Approximate the solution of Fredholm integral equation, using spline colloction
method compared to colloction basis on Lagrange method.
Description
Keywords
Integral equations, Spline Collocation