Computation of singularities in B.V.P.'s using finite differences with block-elimination

(1992) Computation of singularities in B.V.P.'s using finite differences with block-elimination. Masters thesis, King Fahd University of Petroleum and Minerals.

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Arabic Abstract

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English Abstract

In this thesis, we will consider the numerical computation of simple turning points, simple bifurcation points and cubic turning points, for two point boundary value problems. A direct method will be employed to characterize the B.V.P.'s. Since the main block of all systems involved is the same, this will allow us to use block elimination which will reduce the work by a large factor. To obtain accurate results we will use Richardson extrapolation with small sizes. Numerical examples will also be presented.

Item Type: Thesis (Masters)
Subjects: Math
Divisions: College Of Sciences > Mathematical Science Dept
Committee Advisor: Attili, Basem
Committee Members: Tarman, Isik and Sarhan, Mahmoud
Depositing User: Mr. Admin Admin
Date Deposited: 22 Jun 2008 17:03
Last Modified: 01 Nov 2019 17:00
URI: http://eprints.kfupm.edu.sa/id/eprint/10378