An efficient analytic-numeric technique for solving nonlinear systems of partial differential equations

العناوين الأخرى

طريقة تحليلية عددية فعالة-لحل أنظمة المعادلات التفاضلية الجزئية اللاخطية

مقدم أطروحة جامعية

Farraj, Ghadir Isa Khalil

مشرف أطروحة جامعية

al-Zubi, Imad Ahmad Awad

أعضاء اللجنة

al-Marashidah, Muhammad Fathi
al-Tawalibah, Zuhayr Khalid
al-Dawud, Kamal Muhammad

الجامعة

جامعة مؤتة

الكلية

كلية العلوم

القسم الأكاديمي

قسم الرياضيات و الإحصاء

دولة الجامعة

الأردن

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2017

الملخص الإنجليزي

In this thesis, a recently reacted semi-analytic technique, known as the Adomian-Rach decomposition method, is developed for analytic treatment of nonlinear partial differential equations and system.

The presented method, which is based on combining the power series expansion method and the Adomian decomposition method, overcomes the cost of power series method in solving nonlinear differential equations and the complexity of computing integrals in the Adomian decomposition method.

Many examples, with ordinary and partial derivatives were solved to explain the powerful, simplicity, reliability and efficiency of our modification than other existing methods.

A comparative study with the standard power series expansion method and the Adomian decomposition method is also included.

This dissertation has been organized as follows: Chapter 1 is devoted to related basic facts and concepts.

In Chapter 2, the methodology of decomposition methods to deal differential equations is discussed.

Applications and conclusions are presented in Chapter 3.

التخصصات الرئيسية

الرياضيات

عدد الصفحات

24

قائمة المحتويات

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-780399