@article {10.3844/jmssp.2016.34.42,
article_type = {journal},
title = {An Improved Positivity Preserving Odd Degree-N Said-Ball Boundary Curves on Rectangular Grid Using Partial Differential Equation},
author = {Kherd, Ahmed and Saaban, Azizan and Man, Noraziah Haji},
volume = {12},
year = {2016},
month = {Apr},
pages = {34-42},
doi = {10.3844/jmssp.2016.34.42},
url = {https://thescipub.com/abstract/jmssp.2016.34.42},
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.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}