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Volume :25 Issue : 2 1998
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Interpolation by quartic spline with periodic derivative on uniform meshes
Auther : A. A. KARABALLI
Department of Mathematics and Computer Science, University of Kuwait, P.O. Box 5969, Safat 13060, KUWAIT
E-mail: Karabal@math-1.sci.kuniv.edu.kw
ABSTRACT
This paper presents a formulation of a quartic C with periodic derivative that fits the second derivative values of a smooth function f at uniform mesh points, its first derivative values at internal mesh points, and the function values at the end points of the interval [ 1]. Error bounds in the uniform norm for IIs f(l) 0(1)2, if f d{O, 1], 1 = 3, 5 and f( E BV 11, together with computational examples are also presented.