Study of inverse parabolic partial differential equations with discontinuous coefficients

الموضوعات

علوم بحتة وطبيعية

الملخص

The inverse problem of determining a coefficient (possibly discontinuous)of principal part for parabolic equations has important applications in alarge fields of applied science such as heat conduction and hydrology. Hence,the major objective of this thesis is to review the recent results about in-verse parabolic problems with discontinuous principal coefficient concerninguniqueness, stability and existence of solution to these problems.We start by presenting some popular inverse problems in partial differentialequations and indicate their applications. Afterward, in part two we studyin particular the inverse problems of parabolic partial differential equations.In part three, we review some numerical methods for solving these problems.In part four, we move towards studying these problems with discontinuousprincipal coefficient, where in this part the uniqueness of recovery of the dis-continuous conductivity of a parabolic equation is presented and a numericalsolution for an inverse diffusion problem is reviewed.Finally, the solution of some inverse parabolic problems using Adomian de-composition method is studied and we will try to solve these problems withdiscontinuous principal coefficient using the mentioned method

روابط وملفات

التعريف والنوع

رقم الوثيقة

fb5413a0-d076-42f6-aa87-342cd5923d30

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

pdf text

أسماء الملفات

57893_1.pdf

بيانات النشر

ألقاب المؤلفين

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اللغة

English

المصدر والدورية

اسم المصدر

Study of inverse parabolic partial differential equations with discontinuous coefficients

المحتوى والصفحات

عدد الصفحات

0

إشراف وإعداد

الإشراف

علاء الدين العيان

الإعداد

أصيل تيتي

الاقتباسات الببليوغرافية