Taylor differential transform method for the first painlev´e equation

Other Title(s)

طريقة تحويل تيلور التفاضلي لمعادلة بانليفة الأولى

Dissertant

Sulayh, Ala Muhammad Khalil

Thesis advisor

al-Saqqa, Ayman Hashim

University

Islamic University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (Gaza Strip)

Degree

Master

Degree Date

2019

Arabic Abstract

في هذه الرسالة ، درسنا مفهوم طريقة تحويل تيلور التفاضلي.

طبقنا طريقة تحويل تيلور التفاضلي لإيجاد حلول النظام الخطي و غير الخطي للمعادلات التفاضلية العادية طبقنا طريقة تحويل تيلور التفاضلي على معادلة بانليفة الأولى استخدمنا الانحراف لحساب دقة الحلول و مقارنة النتائج بالنتائج المعروفة و الموجودة سابقا.

English Abstract

In this thesis, we study the concept of Taylor Di_erential Transform Method (TDTM).

We apply the TDTM to _nd the solutions of linear and nonlinear system of ordinary di_erential equations.

We apply the TDTM to the initial value problem of the _rst Painlev_e equation.

We used the deviation to calculate the accuracy of the solutions and the results are compared with the known results in the literature.

Main Subjects

Mathematics

Topics

No. of Pages

80

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Chapter One : Introduction.

Chapter Two : Taylor differential transform method.

Chapter Three : The application of TDTM on the first painlev´e equation.

Chapter Four : Conclusion.

References.

American Psychological Association (APA)

Sulayh, Ala Muhammad Khalil. (2019). Taylor differential transform method for the first painlev´e equation. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-901166

Modern Language Association (MLA)

Sulayh, Ala Muhammad Khalil. Taylor differential transform method for the first painlev´e equation. (Master's theses Theses and Dissertations Master). Islamic University. (2019).
https://search.emarefa.net/detail/BIM-901166

American Medical Association (AMA)

Sulayh, Ala Muhammad Khalil. (2019). Taylor differential transform method for the first painlev´e equation. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-901166

Language

English

Data Type

Arab Theses

Record ID

BIM-901166