Differential Transform Method for Differential Equations

الموضوعات

علوم بحتة وطبيعية

الملخص

The differential transform method was firstly introduced by Zhou before thirty years ago. This method is a semi-analytical numerical method for solving differential equations.Indeed, the differential transform method is based on Taylor series expansion, in a different manner, in which the differential equation is converted into a recurrence relation to get a series solution in terms of polynomials.This thesis is mainly concerned with the differential transform method for both ordinary and partial differential equations. Firstly, we use the one dimensional differential transform method to solve initial value problems as well as boundary value problems for ordinary differential equations. In addition, we present recent modifications of differential transform method that improve its algorithm.Secondly, we solve initial and boundary value problems for partial differential equations by using two dimensional differential transform method, reduced differential transform method and Laplace differential transform method.

روابط وملفات

التعريف والنوع

رقم الوثيقة

fbf2927f-24a5-4ed8-b1b2-7f9dfce061ea

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

pdf text

أسماء الملفات

1819254_1.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":"Alaa Khatib","title_ar":"اعداد","title_en":"Preparation"},{"name_ar":"Ali Zein ","title_ar":"اشراف","title_en":"Supervision"}]

اللغة

English

المصدر والدورية

اسم المصدر

Differential Transform Method for Differential Equations

المحتوى والصفحات

عدد الصفحات

0

كلمات الباحثين

Mathematics, Differential Equations

إشراف وإعداد

الإشراف

Ali Zein

الإعداد

Alaa Khatib

الاقتباسات الببليوغرافية