Study of inverse parabolic partial differential equations with discontinuous coefficients

مقدم أطروحة جامعية

Titi, Asil

مشرف أطروحة جامعية

al-Ayyan, Ala al-Din

أعضاء اللجنة

al-Uqayli, Marwan
Jadun, Rimun

الجامعة

جامعة بيرزيت

الكلية

كلية العلوم

القسم الأكاديمي

دائرة الرياضيات

دولة الجامعة

فلسطين (الضفة الغربية)

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2014

الملخص الإنجليزي

The inverse problem of determining a coe_cient (possibly discontinuous) of principal part for parabolic equations has important applications in a large _elds of applied science such as heat conduction and hydrology.

Hence, the major objective of this thesis is to review the recent results about inverse parabolic problems with discontinuous principal coe_cient concerning uniqueness, stability and existence of solution to these problems. We start by presenting some popular inverse problems in partial di_erential equations and indicate their applications.

Afterward, in part two we study in particular the inverse problems of parabolic partial di_erential equations. In part three, we review some numerical methods for solving these problems. In part four, we move towards studying these problems with discontinuous principal coe_cient, where in this part the uniqueness of recovery of the discontinuous conductivity of a parabolic equation is presented and a numerical solution for an inverse di_usion problem is reviewed. Finally, the solution of some inverse parabolic problems using Adomian decomposition method is studied and we will try to solve these problems with discontinuous principal coe_cient using the mentioned method.

التخصصات الرئيسية

الرياضيات

الموضوعات

• المعادلات التفاضلية الجزئية

عدد الصفحات

88

قائمة المحتويات

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-413325