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A Chebyshev approximation for solving nonlinear integral equations of Hammerstein type. (English) Zbl 1122.65409
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:
65R20Integral equations (numerical methods)
45G10Nonsingular nonlinear integral equations