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Original Articles

End conditions for interpolatory sextic splinesFootnote

&
Pages 473-485 | Received 03 Aug 2005, Accepted 25 Aug 2006, Published online: 28 Nov 2010
 

Abstract

In this paper a sextic spline is defined for interpolation at equally spaced knots along with the end conditions required to complete the definition of the spline. These conditions are in terms of given functional values at the knots and lead to uniform convergence of O(h 7) throughout the interval of interpolation. The main objective of defining the end conditions for the sextic spline is to use the sextic spline not only for interpolation purposes, but also for the solution of the fifth-order boundary value problem, with the change consistent with the boundary value problem.

†Dedicated to the memory of Dr. M. Rafique.

Notes

†Dedicated to the memory of Dr. M. Rafique.

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