Sextic spline solution of fifth-order boundary value problems

There are few techniques to numerically solve fifth-order boundary-value problems (BVPs). In this paper two sextic spline collocation methods are developed and analyzed. The first one uses spline interpolants and the second is based on spline quasi-interpolants. They are both proved to be second-order convergent. Numerical results verify the order of convergence predicted by the analysis.

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Year of publication:	2008
Authors:	Lamnii, A. ; Mraoui, H. ; Sbibih, D. ; Tijini, A.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 77.2008, 2, p. 237-246
Publisher:	Elsevier
Subject:	Fifth-order boundary-value problems \| Collocation method \| Sextic spline interpolant \| Quasi-interpolant

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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