dc.contributor.author |
Belgacem, Lajimi ben Amor ben |
|
dc.date.accessioned |
2014-01-29T07:16:10Z |
|
dc.date.available |
2014-01-29T07:16:10Z |
|
dc.date.issued |
2007-01-01 |
|
dc.identifier.citation |
Belgacem,Lajimi ben Amor ben.THEORETICAL AND APPLIED STUDY ON ADOMIAN DECOMPOSITION METHOD AND MODIFIED DECOMPOSITION /Lajimi ben Amor benBelgacem;Bakri Mirghani Ahmed.-Khartoum:Sudan University of Science and Technology,College of Science,2007.-74p. : ill. ; 28cm.-PhD. |
en_US |
dc.identifier.uri |
http://hdl.handle.net/123456789/3276 |
|
dc.description |
Thesis |
en_US |
dc.description.abstract |
In this dissertation we study the solution of system of ordinary differential
equations (SODE) 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 and showed how to use ADM to solve ODE with singular point.
In chapter two we explain how to use ADM in solving SODE both linear
and nonlinear, we also compare the results of the two methods used
(separation method – direct application to ADM) for solving coupled system
of Schrödinger equations.
Chapter three concentrates on results obtained by using ADM and MD for
solving the prey and predator problem.
In chapter four we solve Lotka-Volterra model using MD and compare
the result found to that of ADM and draw a general pattern for solving
Lotka-Volterra model using ADM and MD. |
en_US |
dc.description.sponsorship |
Sudan University of Science and Technology |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
Sudan University of Science and Technology |
en_US |
dc.subject |
Mathematics |
en_US |
dc.title |
THEORETICAL AND APPLIED STUDY ON ADOMIAN DECOMPOSITION METHOD AND MODIFIED DECOMPOSITION |
en_US |
dc.title.alternative |
طريقة اد وميان للتفكيك وطريقة التفكيك المعدلة: دراسة نظرية وتطبيقية |
en_US |
dc.type |
Thesis |
en_US |