A new Nyström-type method for Fredholm integral equations of the second kind

•A new Nystrom-type method is proposed for the second kind integral equations.•Convergence and error analysis of the present method are made.•A practical and simple algorithm is given to obtain the approximation solution. A new Nyström-type method is proposed in the paper to solve linear Fredholm in...

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Vydáno v:Applied mathematics and computation Ročník 219; číslo 17; s. 8842 - 8847
Hlavní autor: Zhong, Xian-Ci
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Inc 01.05.2013
Témata:
Algorithm
Convergence and error analysis
Fredholm integral equations
Nyström-type method
Convergence and error analysis
Fredholm integral equations
Algorithm
Nyström-type method
ISSN:0096-3003, 1873-5649
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Popis
Shrnutí:•A new Nystrom-type method is proposed for the second kind integral equations.•Convergence and error analysis of the present method are made.•A practical and simple algorithm is given to obtain the approximation solution. A new Nyström-type method is proposed in the paper to solve linear Fredholm integral equations of the second kind. Convergence and error analysis of the numerical solution are made. A practical and simple algorithm is given to obtain the approximation solution. A numerical example is given to verify the proposed method and compare with the known existing ones.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2013.03.036