The adomian decomposition method for solving partial differential equations

Dissertant

al-Awawidah, Iman

Thesis advisor

Ilayyan, Ala al-Din

Comitee Members

Musa, Abd al-Rahim
al-Uqayli, Marwan

University

Birzeit University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (West Bank)

Degree

Master

Degree Date

2016

English Abstract

We review the Adomian decomposition method(ADM).

We give general description of this method, the convergence analysis of this method and we present some modi cations for the standard ADM.

In chapter 3, we will give examples of using ADM for obtaining exact and numerical solutions for nonlinear ordinary di erential equations, partial di erential equations and integral equations.

We present a solution of generalized log-KdV (The Korteweg de Vries) equation as an application of using the ADM for solving nonlinear PDEs of higher order.

In chapter 4, we will consider di erent types of inverse partial di erential equations, boundary conditions identi cation, coecient identi cation and source identi cation using ADM.

In this part, we will try to solve the heat conduction inverse problem in special cases using Adomian decomposition method.

Main Subjects

Law

No. of Pages

96

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-779599