(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 |
| Department: | College of Computing and Mathematics > Mathematics |
| 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 13:43 |
| Last Modified: | 01 Nov 2019 13:48 |
| URI: | http://eprints.kfupm.edu.sa/id/eprint/9556 |