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2017 | OriginalPaper | Chapter

Numerical Solutions of Nonlinear Volterra–Fredholm–Hammerstein Integral Equations Using Sinc Nyström Method

Authors : Yanying Ma, Jin Huang, Changqing Wang

Published in: Information Technology and Intelligent Transportation Systems

Publisher: Springer International Publishing

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Abstract

In this paper, a numerical method is presented for solving nonlinear Volterra–Fredholm–Hammerstein integral equations. The proposed method takes full advantage of Nyström method and Sinc quadrature. Nonlinear integral equations is converted into nonlinear algebraic system equations. Error estimation is derived which is shown to has an exponential order of convergence. The accuracy and effectiveness of the proposed method are illustrated by some numerical experiments.

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Literature
1.
Yousefi S, Razzaghi M (2005) Legendre wavelets method for the nonlinear Volterra–Fredholm integral equations. Math Comput Simul 70:1–8MathSciNetCrossRefMATH
2.
Ordokhani Y, Razzaghi M (2008) Solution of nonlinear Volterra–Fredholm–Hammerstein integral equations via a collocation method and rationalized Haar functions. Appl Math Lett 21:4–9MathSciNetCrossRefMATH
3.
Maleknejad K, Hashemizadeh E, Basirat B (2012) Computational method based on Bernstein operational matrices for nonlinear Volterra–Fredholm–Hammerstein integral equations. Commun Nonlinear Sci Numer Simul 17:52–61MathSciNetCrossRefMATH
4.
Yalcinbas S (2002) Taylor polynomial solutions of nonlinear Volterra–Fredholm integral equations[J]. Appl Math Comput 127:195–206
5.
Bildik N, Inc M (2007) Modified decomposition method for nonlinear Volterra–Fredholm integral equations. Chaos, Solitons Fractals 33:308–313MathSciNetCrossRefMATH
6.
Mirzaee F, Hoseini AA (2013) Numerical solution of nonlinear Volterra–Fredholm integral equations using hybrid of block-pulse functions and Taylor series. Alex Eng J 52:551–555CrossRef
7.
Rashidinia J, Zarebnia M (2007) Convergence of approximate solution of system of Fredholm integral equations. J Math Anal Appl 333:1216–1227MathSciNetCrossRefMATH
8.
9.
Bialecki B (1989) A modified sinc quadrature rule for functions with poles near the arc of integration. BIT Numer Math 29:464–476MathSciNetCrossRefMATH
10.
Kress R, Sloan IH, Stenger F (1997) A sinc quadrature method for the double-layer integral equation in planar domains with corners. University of New South Wales, School of Mathematics, SydneyMATH
11.
Lund J, Bowers KL (1992) Sinc methods for quadrature and differential equations. SIAM, PhiladelphiaCrossRefMATH
12.
Okayama T, Matsuo T, Sugihara M (2011) Improvement of a Sinc-collocation method for Fredholm integral equations of the second kind. BIT Numer Math 51:339–366MathSciNetCrossRefMATH
13.
Okayama T, Matsuo T, Sugihara M (2015) Theoretical analysis of Sinc-Nyström methods for Volterra integral equations. Math Comput 84:1189–1215MathSciNetCrossRefMATH
Metadata
Title
Numerical Solutions of Nonlinear Volterra–Fredholm–Hammerstein Integral Equations Using Sinc Nyström Method
Authors
Yanying Ma
Jin Huang
Changqing Wang
Copyright Year
2017
Book
Information Technology and Intelligent Transportation Systems

Print ISBN: 978-3-319-38769-7

Electronic ISBN: 978-3-319-38771-0

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-38771-0_18

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