In this Video we shall be concerned with the nonhomogeneous Fredholm integral
equations of the second kind of the form as mention in video
Example 2 :- • What is Adomian Decomp...
What is Integral Equation:- • Introduction to Integr...
What is Fredholm integral equation and its kinds:- • TYPE 1 Fredholm integr...
Homogeneous and non homogeneous Integral equation:- • Linear and Homogeneous...
A considerable amount of discussion will be directed towards the various methods and techniques that are used for solving this type of equations starting with the most recent methods that proved to be highly reliable and accurate.
As indicated in our objective for a first course in integral equations, we will pay
more attention to the practical techniques for solving integral equations rather than the
abstract theorems.The Following Ways to Find the Solution of non homogeneous Fredholm integral equation of second kind:-
1) Adomian Decomposition method:- • Example 1 Adomian Deco...
2) Modified Decomposition method:- • Modified Decomposition...
3) Noise term phenomenon:- • Noise Term Phenomenon ...
4) Direct method:- • Direct method example 1
5) Successive approximation method:- • Successive approximati...
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Integral equation Playlist:- • INTEGRAL EQUATION
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Adomian developed the so-called Adomian decomposition method or simply the
decomposition method (ADM). The method was well introduced by Adomian in his
recent books [1] and [2]. The method proved to be reliable and effective for a wide
class of equations, differential and integral equations, linear and nonlinear models. The
method provides the solution in a series form as will be seen later. The method was
applied mostly to ordinary and partial differential equations, and was rarely used for
integral equations in [1] and [2]. The concept of convergence of the solution obtained by
this method was addressed extensively in the literature. The convergence concept is
beyond the scope of this text. However, the decomposition method can be successfully
applied towards linear and nonlinear integral equations.
In the decomposition method we usually express the solution u(x) of the integral
equation (1) in a series form
Adomian Decomposition method for fredholm integral equation
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