Kherd, Ahmed and Saaban, Azizan and Man, Noraziah (2016) An improved positivity preserving odd degree-n Said-Ball boundary curves on rectangular grid using partial differential equation. Journal of Mathematics and Statistics, 12 (1). pp. 34-42. ISSN 15493644

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Abstract

This paper discusses the sufficient conditions for positivity preserving odd degree-n Said-Ball boundary curves defined on a rectangular grid.We derive a sufficient condition on boundary curves of rectangular Said-Ball patches where the lower bound ordinates are adjusted independently.To construct the boundary curves for each rectangular patch, the Said-Ball polynomial solution of fourth order PDE will be considered where its coefficients can be calculated using edge Said-Ball ordinates which fulfill the positivity preserving conditions.Graphical examples are presented using well-known test functions.

Item Type:	Article
Uncontrolled Keywords:	Positivity, Rectangular Said-Ball Patches, Partial Differential Equation
Subjects:	Q Science > QA Mathematics
Divisions:	School of Quantitative Sciences
Depositing User:	Dr. Azizan Saaban
Date Deposited:	06 Apr 2017 04:46
Last Modified:	06 Apr 2017 04:46
URI:	https://repo.uum.edu.my/id/eprint/21537

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