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A finite difference approximation for a class of singular boundary value problems

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.

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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)
Date:August 1992
Date Type:Completion
Subjects:Math
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.
ID Code:9556
Deposited By:KFUPM ePrints Admin
Deposited On:22 Jun 2008 16:43
Last Modified:25 Apr 2011 08:54

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