Abu-Zaid, Issam Taher Mohammad (1992) A finite difference approximation for a class of singular boundary value problems. PhD thesis, King Fahd University of Petroleum and Minerals.
Numerical solutions of singular boundary value problems have drawn considerable interest in the last two decades. This work is a contribution in that direction. The objective of this dissertation is to extend certain results in the literature to a wider class of singular self-adjoint boundary value problems with minimal constraints on the data of the problem. A finite difference method is used to approximate the solutions, eigenvalues and eigenvectors of the associated differential operators. Order h² convergence is achieved in these approximations. Numerical examples are given to demonstrate the O(h²) convergence obtained theoretically.
|Item Type:||Thesis (PhD)|
|Divisions:||College Of Sciences > Mathematical Science Dept|
|Creators:||Abu-Zaid, Issam Taher Mohammad|
|Committee Advisor:||El-Gebeily, Mohamed|
|Committee Members:||Zaman, Fiazuddin and Tarman, Isik and Boumenir, Amin and Nasser, Ibraheem M.|
|Deposited By:||KFUPM ePrints Admin|
|Deposited On:||22 Jun 2008 16:43|
|Last Modified:||25 Apr 2011 08:54|
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