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Sextic spline solution of fifth-order boundary value problems

✍ Scribed by A. Lamnii; H. Mraoui; D. Sbibih; A. Tijini

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 236 KB
Volume: 77
Category: Article
ISSN: 0378-4754
DOI: 10.1016/j.matcom.2007.09.008

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✦ Synopsis

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 quasiinterpolants. They are both proved to be second-order convergent. Numerical results verify the order of convergence predicted by the analysis.

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