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العنوان
Analysis of the System of Linear Algebraic Equations
Arising from the Solution of Some Plane Boundary-Value
Problems in a Rectangular Region when using the Boundary
Fourier Expansion Method
هيئة الاعداد
باحث / Wael Mahmoud Mohamed Mohamed Ali
مشرف / N. H. Sweilam
مشرف / E. K. Rawy
الموضوع
Stable Methods for Solving Ill-posed Systems-
تاريخ النشر
2010
عدد الصفحات
120.p:
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات التطبيقية
تاريخ الإجازة
1/1/2010
مكان الإجازة
جامعة القاهرة - كلية العلوم - Applied Mathematics
الفهرس
Only 14 pages are availabe for public view

from 120

from 120

Abstract

We have investigated four different systems of linear algebraic equations arising
from plane singular boundary-value problems for Laplace’s equation in rectangular
regions, with the aim of comparing the efficiency of three methods of solution: the
QR-Factorization Method contaminated with noise, the Dynamical systems
Method and the Variational Regularization Method. In each case, we have studied
thoroughly the matrix of coefficients.
We have reached some conclusions concerning the relative efficiency of the
three above-mentioned methods of solution. Moreover, it turns out that it is the
minimum singular value of the matrix of coefficients, and not the condition
number, that intervenes in determining the efficiency of the QR-Factorization
Method.