Sextic spline solution of fifth-order boundary value problems

A. Lamnii, H. Mraoui, D. Sbibih and A. Tijini

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 77, issue 2, 237-246

Abstract: 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.

Keywords: Fifth-order boundary-value problems; Collocation method; Sextic spline interpolant; Quasi-interpolant (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:77:y:2008:i:2:p:237-246

DOI: 10.1016/j.matcom.2007.09.008

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