Lie symmetry methods for solving diffrential and difference equations

Dissertant

Nazzal, Isra Abu Bakr

Thesis advisor

al-Uqayli, Marwan

University

Birzeit University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (West Bank)

Degree

Master

Degree Date

2019

Arabic Abstract

الهدف من الرسالة هو دراسة طريقة التماثل لحل معادلات الفرق والمعادلات التفاضلية.

وسوف نقوم باستعراض هذه الطريقة لحل هذه المعادلات ونستخدمها في حل المعادلة التالية من الدرجه السادسة un+6 =un/(An + Bnunun+3) والعادلة من الدرجة الثامنة un+8 =un/(An + Bnunun+2un+4un+6) حيث القيم الأولية هي أرقام اختيارية حقيقية غير صفرية من خلال تحديد مجموعات التماثل

English Abstract

We review the symmetry method that can be used to solve differential and difference equations.

We use the symmetry method to solve the sixth order difference equation.

un+6 = un An + Bnunun+3 where the initial values u0, u1, · · · , u5 are arbitrary nonzero real numbers and the eighth order difference equation un+8 = un An + Bnunun+2un+4un+6 where the initial values u0, u1, · · · , u7 are arbitrary nonzero real numbers by determining Lie groups of symmetries.

Main Subjects

Mathematics

No. of Pages

92

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Chapter One : Literature review.

Chapter Two : Preliminaries.

Chapter Three : Symmetry methods for difference equations.

Chapter Four : Solution and behavior of a rational difference equation.

References.

American Psychological Association (APA)

Nazzal, Isra Abu Bakr. (2019). Lie symmetry methods for solving diffrential and difference equations. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-957974

Modern Language Association (MLA)

Nazzal, Isra Abu Bakr. Lie symmetry methods for solving diffrential and difference equations. (Master's theses Theses and Dissertations Master). Birzeit University. (2019).
https://search.emarefa.net/detail/BIM-957974

American Medical Association (AMA)

Nazzal, Isra Abu Bakr. (2019). Lie symmetry methods for solving diffrential and difference equations. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-957974

Language

English

Data Type

Arab Theses

Record ID

BIM-957974