A New Extended Padé Approximation and Its Application. (10th December 2013)

• Record Type: Journal Article
• Authors: Kalateh Bojdi, Z.; Ahmadi-Asl, S.; Aminataei, A.
• Other Names: Han Weimin Academic Editor.
• Is Part Of: Advances in numerical analysis. Volume 2013(2013)
• Publication Date: 2013-12-10
• Subjects: Numerical analysis -- Periodicals; Numerical analysis; Periodicals; Electronic journals; 518
• DOI: 10.1155/2013/263467
• Languages: English
• ISSNs: 1687-9562

Abstract

Abstract : We extend ordinary Padé approximation, which is based on a set of standard polynomials as{ 1, x, …, x n }, to a new extended Padé approximation (Müntz Padé approximation), based on the general basic function set{ 1, x λ, x 2 λ, …, x n λ } ( 0 < λ ≤ 1 ) (the particular case of Müntz polynomials) using general Taylor series (based on fractional calculus) with error convergency. The importance of this extension is that the ordinary Padé approximation is a particular case of our extended Padé approximation. Also the parameterization (λ is the corresponding parameter) of new extended Padé approximation is an important subject which, obtaining the optimal value of this parameter, can be a good question for a new research.