Numerical treatments of system of fredholm integral eguation

مقدم أطروحة جامعية

Ibrahim, Ghadah Hasan

الجامعة

الجامعة التكنولوجية

الكلية

-

القسم الأكاديمي

قسم العلوم التطبيقية

دولة الجامعة

العراق

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2006

الملخص الإنجليزي

The main aim of this thesis is lo study and modify some approximate and numerical method to treat linear system of Fredholm integral equations.

For the approximate method for solving linear system of Fredholm integral equations including Neumann Series method have been modified to be applicable for solving this system.

Also, the existence and uniqueness theorem for the Fredholm integral equation has been generalized to system of Fredholm integral equations.

Moreover, five different types of Nystrom or quadrature methods Trapezoidal.

Simpson's 1 / 3.

Simpson's 3 / 8.

Bolo's and Weddell's have been modified and successfully employed to give numerical solution for this system.

Also, the convenience theorem of the Nystrom methods and the error anises me sinful Fredholm integral equation has been generalized to linear system of Fredholm integral equations.

This thesis presents five algorithms based on extrapolation method including: Trapezoidal extrapolation.

Simpson's 13 extrapolation.

Simpson's 3 : H extrapolation.

Bolo's extrapolation and Venue is extrapolation to get more accurate results.

Finally, at the end of each methods.

Algorithms and programs developed and written in MATHLAB (version 6.5).

التخصصات الرئيسية

الرياضيات

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-305811