A Jacobi-collocation method for second kind Volterra integral equations with a smooth kernel
type: Item
instance of: scholarly article
title: A Jacobi-collocation method for second kind Volterra integral equations with a smooth kernel
zbMATH Open document ID: 1474.65494
DOI: 10.1155/2014/913691
author: H. F. Guo
author: Haotao Cai
author: Xin Zhang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The purpose of this paper is to provide a Jacobi-collocation method for solving second kind Volterra integral equations with a smooth kernel. This method leads to a fully discrete integral operator. First, it is shown that the fully discrete integral operator is stable in both \(L^\infty\) and weighted \(L^2\) norms. Then, the proposed approach is proved to arrive at an optimal (the most possible) convergent order in both norms. One numerical example demonstrates the efficiency and accuracy of the proposed method.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 7023295
Wikidata QID: Q59042787
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/913691
OpenAlex ID: W2088676170
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description: scientific article; zbMATH DE number 7023295