header

Analysis of the system of linear algebraic equations arising from the solution of some plane boundry - value problems in a rectangular region when using the boundary fourier expansion method /

Wael Mahmoud Mohamed Mohamed Ali

Analysis of the system of linear algebraic equations arising from the solution of some plane boundry - value problems in a rectangular region when using the boundary fourier expansion method / فحص مجموعة المعادلات الجبرية الخطية الناتجة من حل بعض مسائل الشروط الحدية المستوية فى منطقة مستطيلة الشكل عند استخدام طريقة مفكوك فوريية الحدى Wael Mahmoud Mohamed Mohamed Ali ; Supervised N. H. Sweilam , E. K. Rawy - Cairo : Wael Mahmoud Mohamed Mohamed Ali , 2010 - 107Leaves ; 30cm

Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics

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 contaminted with noise the Dynamical systems Method and the Variational Regularization Method



Dyamical systems method (DSM) Singular Laplace's equation for rectangular regions Treffz's method