ADOMAIN DECOMPOSITION METHOD FOR SOLVING OF FREDHOLM INTEGRAL EQUATION OF THE SECONED KIND USING MATLAB

Abstract

Integral equation has been one of the essential tools for various areas of applied mathematics.
The Fredholm integral equations can be derived from boundary value problems. In this paper, we are
concerned with the application of the Adomian Decomposition Method by using MATLAB program for the
Fredholm integral equation of the second kind. The new computational algorithm is applied directly without
using any transformation, linearization, discretization or taking some restrictive assumptions. An exact solution
of the illustrative example was successfully fund using the proposed method, and the results are compared with
the results of the existing methods. The Adomain Decomposition will be obtained easily without linearizing
the problem by implementing the Adomain Decomposition Method by using MATLAB program rather than
the standard methods for the exact solutions. The concern will be on the determination of the solution yy(xx) of
the Fredholm integral equations of the second kind. The results indicated that the method is very effective and
simple.MATLAB.