Solution for the nonlinear korteweg-de vries (KdV)‎ equation using Adomian polynomial

العناوين الأخرى

حل معادلة (Korteweg-de Vries)‎ اللاخطية باستخدام متعددة الحدود (Adomian)‎

مقدم أطروحة جامعية

al-Shubul, Ali Atif

مشرف أطروحة جامعية

Jaradat, Imad Khalid Yusuf

أعضاء اللجنة

al-Dumur, Hmud Abd al-Hamid
Abu Samak, Mahmud Khalid
al-Shar, Muhammad Abd al-Karim

الجامعة

جامعة مؤتة

الكلية

كلية العلوم

القسم الأكاديمي

قسم الفيزياء

دولة الجامعة

الأردن

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2017

الملخص الإنجليزي

In this work, we studied the equation of linear harmonic oscillator and solve it using (Laplace Transform) (LT).

We then studied the damped oscillator in terms of its characteristics and solve its equation using (LT) by applying the initial conditions for obtaining the three states and then drawing the solutions of these types using the software (Mathematica 11).

We then studied the nonlinear equation and solved it using the (Laplace Adomian Decomposition Method) (LADM).

Then we studied the fractional calculus equation which is called (Caputo Fractional Derivative).

Then we began to study the (Korteweg de Vries) (KdV) equation in terms of its properties, its application and the formula of its equations in three types (General, fifth and seventh - order).

The main objective of this study is to solve the (KdV) equation by using the first methods (LADM) and the second method (Fractional Calculus).

Then we draw the solutions using the software (Mathematica 11).

Finally, we compared the results of the equation solution in both ways

التخصصات الرئيسية

الفيزياء

عدد الصفحات

59

قائمة المحتويات

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-779165