Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis
Joint Authors
Baleanu, Dumitru
Babaei, Fereshteh
Alipour, Mohsen
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-23
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Alipour, Mohsen& Baleanu, Dumitru& Babaei, Fereshteh. 2014. Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1033881
Modern Language Association (MLA)
Alipour, Mohsen…[et al.]. Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1033881
American Medical Association (AMA)
Alipour, Mohsen& Baleanu, Dumitru& Babaei, Fereshteh. Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1033881
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033881
