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Zbl 1122.65409
Babolian, E.; Fattahzadeh, F.; Raboky, E.Golpar
A Chebyshev approximation for solving nonlinear integral equations of Hammerstein type. (English)
[J] Appl. Math. Comput. 189, No. 1, 641-646 (2007). ISSN 0096-3003

Summary: A numerical method for solving Fredholm-Volterra Hammerstein integral equations is presented. This method is based on replacement of the unknown function by truncated series of well known Chebyshev expansion of functions.The quadrature formula which we use to calculate integral terms can be estimated by fast Fourier transform. The numerical examples and the number of operations show the advantages of this method to some other usual methods.

MSC 2000:: *65R20 Integral equations (numerical methods)
45G10 Nonsingular nonlinear integral equations

Keywords: Fredholm-Volterra Hammerstein integral equation; Chebyshev expansion; nonlinear integral equations; quadrature formula; fast Fourier transform; numerical examples

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Zentralblatt MATH Berlin [Germany]