Abstract:
In this research we study the solution of partial
differential equations using Adomian decomposition
method (ADM) and modified decomposition (MD) and
we compared between the results of the two methods.
In chapter one we explained the two methods and how
to use them to solve initial value problem of ordinary
differential equations (ODE) and gave some examples
with comparison of the result founded by using ADM
and MD .
In chapter two we explain how to use ADM in solving
partial differential equation and we takes some example
of boundary value problems, we also compare the results
founded with the exact solution.
In chapter three we solve partial differential equations
using MD .First we explain MD in several dimensions
and we solve some example of boundary value problem
we also compare the results with the solution founded by
ADM and we use MD to solve Nonlinear partial
differential equations.
In chapter four concentrates on results obtained by
using ADM for solving some types of partial differential
equations like Non linear heat equation, Fokker-Plank
equation and parabolic equation and we solve heat and
wave equation using MD that is the results of MD are
more accurate or the same aquantitative solutions and its
simple to apply.
