Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis. (23rd February 2014)

• Record Type: Journal Article
• Authors: Alipour, Mohsen; Baleanu, Dumitru; Babaei, Fereshteh
• Other Names: Cattani Carlo Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-02-23
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/623763
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We introduce a new combination of Bernstein polynomials (BPs) and Block-Pulse functions (BPFs) on the interval [0, 1]. These functions are suitable for finding an approximate solution of the second kind integral equation. We call this method Hybrid Bernstein Block-Pulse Functions Method (HBBPFM). This method is very simple such that an integral equation is reduced to a system of linear equations. On the other hand, convergence analysis for this method is discussed. The method is computationally very simple and attractive so that numerical examples illustrate the efficiency and accuracy of this method.