Some approximate algorithms for variational problems

مقدم أطروحة جامعية

Abd al-Ilah, Asma K.

مشرف أطروحة جامعية

Shihab, Suha Najib

الجامعة

الجامعة التكنولوجية

الكلية

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القسم الأكاديمي

قسم العلوم التطبيقية

دولة الجامعة

العراق

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2012

الملخص الإنجليزي

This thesis presents a number of algorithms for the approximate solution of variational problems based on first and second Chebyshev wavelets.

The convergence of second.

Chebyshev wavelets are first discussed.

Then some new relations between first and second Chebyshev wavelets are derived.

The proposed algorithms to find extremum value of variational problem are based on using Euler-Lagrange equation.

To facilitate the computation, a new property is derived called operational matrix of derivative.

Using the operational matrices of derivative and integration, for first and second Chebyshev wavelets.

The problem is converted to solving a system of algebraic equation.

All algorithms are tested on a variety of problems.

التخصصات الرئيسية

الرياضيات

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-419862