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2014 Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis
Mohsen Alipour, Dumitru Baleanu, Fereshteh Babaei
Abstr. Appl. Anal. 2014(SI64): 1-8 (2014). DOI: 10.1155/2014/623763

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.

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Mohsen Alipour. Dumitru Baleanu. Fereshteh Babaei. "Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis." Abstr. Appl. Anal. 2014 (SI64) 1 - 8, 2014. https://doi.org/10.1155/2014/623763

Information

Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022754
MathSciNet: MR3176761
Digital Object Identifier: 10.1155/2014/623763

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI64 • 2014
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