A finite difference approximation for a class of singular boundary value problems
General Material Designation
[Thesis]
First Statement of Responsibility
I. T. M. Abu-Zaid
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
King Fahd University of Petroleum and Minerals (Saudi Arabia)
Date of Publication, Distribution, etc.
1992
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
135
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
Ph.D.
Body granting the degree
King Fahd University of Petroleum and Minerals (Saudi Arabia)
Text preceding or following the note
1992
SUMMARY OR ABSTRACT
Text of Note
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.