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2013 Solving a System of Linear Volterra Integral Equations Using the Modified Reproducing Kernel Method
Li-Hong Yang, Hong-Ying Li, Jing-Ran Wang
Abstr. Appl. Anal. 2013(SI29): 1-5 (2013). DOI: 10.1155/2013/196308

Abstract

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 A u = f , is bounded and its image space is the reproducing kernel space W 2 1 [ 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.

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Li-Hong Yang. Hong-Ying Li. Jing-Ran Wang. "Solving a System of Linear Volterra Integral Equations Using the Modified Reproducing Kernel Method." Abstr. Appl. Anal. 2013 (SI29) 1 - 5, 2013. https://doi.org/10.1155/2013/196308

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1291.65391
MathSciNet: MR3132542
Digital Object Identifier: 10.1155/2013/196308

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI29 • 2013
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