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

(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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Arabic Abstract

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English Abstract

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)
Subjects: Math
Divisions: College Of Sciences > Mathematical Science Dept
Committee Advisor: El-Gebeily, Mohamed
Committee Members: Zaman, Fiazuddin and Tarman, Isik and Boumenir, Amin and Nasser, Ibraheem M.
Depositing User: Mr. Admin Admin
Date Deposited: 22 Jun 2008 16:43
Last Modified: 01 Nov 2019 16:48
URI: http://eprints.kfupm.edu.sa/id/eprint/9556