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Abstract
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Article Information:
Convexity-preserving using Rational Cubic Spline Interpolation
Samsul Ariffin Abdul Karim and Kong Voon Pang
Corresponding Author: Samsul Ariffin Abdul Karim
Submitted: October 25, 2013
Accepted: December 04, 2013
Published: July 15, 2014 |
Abstract:
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This study is a continuation of our previous paper. The rational cubic spline with three parameters has been used to preserves the convexity of the data. The sufficient condition for rational interpolant to be convex on entire subinterval will be developed. The constraint will be on one of the parameter with data dependent meanwhile the other are free parameters and will determine the final shape of the convex curves. Several numerical results will be presented to test the capability of the proposed rational interpolant scheme. Comparisons with the existing scheme also have been done. From all numerical results, the new rational cubic spline interpolant gives satisfactory results.
Key words: Convexity-preserving, parameters, rational cubic spline, sufficient condition, , ,
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Cite this Reference:
Samsul Ariffin Abdul Karim and Kong Voon Pang, . Convexity-preserving using Rational Cubic Spline Interpolation. Research Journal of Applied Sciences, Engineering and Technology, (3): 312-320.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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