Monotonicity Preserving Using New Rational Quartic Spline - Abdul Karim, Samsul Ariffin;Hasan, Mohammad Khatim
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This monograph propose new rational quartic spline with linear denominator. It has three parameters. This new rational spline has been used for monotonicity preserving interpolation. The sufficient condition for the monotonicity is derived and all the three parameters can be further utilized to obtain the desired interpolating curves. Furthermore error analysis also has been given in details. Comparison with some existing schemes also have been done. From all numerical results, our rational quartic spline give comparable results with existing schemes.

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Produktbeschreibung
This monograph propose new rational quartic spline with linear denominator. It has three parameters. This new rational spline has been used for monotonicity preserving interpolation. The sufficient condition for the monotonicity is derived and all the three parameters can be further utilized to obtain the desired interpolating curves. Furthermore error analysis also has been given in details. Comparison with some existing schemes also have been done. From all numerical results, our rational quartic spline give comparable results with existing schemes.
Autorenporträt
Samsul Ariffin Abdul Karim is a senior lecturer at Department of Fundamental and Applied Sciences, Universiti Teknologi PETRONAS (UTP). He has published more than 100 papers in Journal and Conferences as well as 3 books and 4 book chapters. He was the recipient of Effective Education Delivery Award and Publication Award for UTP Quality Day.