Müntz-Legendre polynomial solutions of linear delay Fredholm integro-differential equations and residual correction
type: Item
instance of: scholarly article
title: Müntz-Legendre polynomial solutions of linear delay Fredholm integro-differential equations and residual correction
zbMATH Open document ID: 1396.65168
author: Şuayip Yüzbaşı
author: Emrah Gök
author: Mehmet Sezer
published in: Mathematical \& Computational Applications
publication date: 2018-07-05T00:00:00Z
review text: Summary: We consider the Müntz-Legendre polynomial solutions of the linear delay Fredholm integro-differential equations and residual correction. Firstly, the linear delay Fredholm integro-differential equations are transformed into a system of linear algebraic equations by using by the matrix operations of the Müntz-Legendre polynomials and the collocation points. When this system is solved, the Müntz-Legendre polynomial solution is obtained. Then, an error estimation is presented by means of the residual function and the Müntz-Legendre polynomial solutions are improved by the residual correction method. The technique is illustrated by studying the problem for an example. The obtained results show that error estimation and the residual correction method is very effective.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65L03
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 65L60
zbMATH DE Number: 6898863
zbMATH Keywords: linear delay Fredholm integro-differential equation
zbMATH Keywords: Müntz-Legendre polynomials
zbMATH Keywords: collocation method
zbMATH Keywords: residual function
MaRDI profile type: Publication
full work available at URL: mca18030476
OpenAlex ID: W2294688023
DOI: 10.3390/MCA18030476
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description: scientific article; zbMATH DE number 6898863