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

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" A finite difference approximation for a class of singular boundary value problems "
I. T. M. Abu-Zaid

Document Type	:	Latin Dissertation
Language of Document	:	English
Record Number	:	1112625
Doc. No	:	TLpq304039584
Main Entry	:	I. T. M. Abu-Zaid
Title & Author	:	A finite difference approximation for a class of singular boundary value problems\ I. T. M. Abu-Zaid
College	:	King Fahd University of Petroleum and Minerals (Saudi Arabia)
Date	:	1992
student score	:	1992
Degree	:	Ph.D.
Page No	:	135
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 usdh\sp2usd convergence is achieved in these approximations. Numerical examples are given to demonstrate the usdO(h\sp2usd) convergence obtained theoretically.
Subject	:	Mathematics
	:	Pure sciences