Selection of an Interval for Variable Shape Parameter in Approximation by Radial Basis Functions. (18th August 2016)

• Record Type: Journal Article
• Authors: Biazar, Jafar; Hosami, Mohammad
• Other Names: Chen Zhangxin Academic Editor.
• Is Part Of: Advances in numerical analysis. Volume 2016(2016)
• Publication Date: 2016-08-18
• Subjects: Numerical analysis -- Periodicals; Numerical analysis; Periodicals; Electronic journals; 518
• DOI: 10.1155/2016/1397849
• Languages: English
• ISSNs: 1687-9562

Abstract

Abstract : In radial basis function approximation, the shape parameter can be variable. The values of the variable shape parameter strategies are selected from an interval which is usually determined by trial and error. As yet there is not any algorithm for determining an appropriate interval, although there are some recipes for optimal values. In this paper, a novel algorithm for determining an interval is proposed. Different variable shape parameter strategies are examined. The results show that the determined interval significantly improved the accuracy and is suitable enough to count on in variable shape parameter strategies.