Solving a system of linear Volterra integral equations using the modified reproducing kernel method
type: Item
instance of: scholarly article
title: Solving a system of linear Volterra integral equations using the modified reproducing kernel method
zbMATH Open document ID: 1291.65391
DOI: 10.1155/2013/196308
author: Hongying Li
author: Jing-Ran Wang
author: Li-Hong Yang
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: A numerical technique based on reproducing kernel methods for the exact solution of linear Volterra integral equations system of the second kind is given. The traditional reproducing kernel method requests that operator a satisfied linear operator equation \(Au=f\), is bounded and its image space is the reproducing kernel space \(W^1_2[a,b]\). It limits its application. Now, we modify the reproducing kernel method such that it can be more widely applicable. The \(n\)-term approximation solution obtained by the modified method is of high accuracy. The numerical example compared with other methods shows that the modified method is more efficient.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 6306516
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/196308
OpenAlex ID: W2017030956
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Wikidata QID: Q58915511
description: scientific article; zbMATH DE number 6306516