On Bernstein polynomials method to the system of Abel integral equations
type: Item
instance of: scholarly article
title: On Bernstein polynomials method to the system of Abel integral equations
zbMATH Open document ID: 1474.65497
DOI: 10.1155/2014/796286
author: S. Measoomy Nia
author: Alireza K. Golmankhaneh
author: D. Baleanu
author: A. Jafarian
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper deals with a new implementation of the Bernstein polynomials method to the numerical solution of a special kind of singular system. For this aim, first the truncated Bernstein series polynomials of the solution functions are substituted in the given problem. Using some properties of these polynomials, the solution of the problem is reduced to solve a linear system of algebraic equations. In order to confirm the reliability and accuracy of the proposed method, some weakly Abel integral equations systems with comparisons are solved in detail as numerical examples.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 7023091
Wikidata QID: Q59041568
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/796286
OpenAlex ID: W2079343237
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description: scientific article; zbMATH DE number 7023091