A Chebyshev approximation for solving nonlinear integral equations of Hammerstein type

Autor:	Esmail Babolian, F. Fattahzadeh, E. Golpar Raboky
Rok vydání:	2007
Předmět:	Approximation theory Applied Mathematics Numerical analysis Mathematical analysis Chebyshev iteration Fredholm integral equation Integral equation Volterra integral equation Quadrature (mathematics) Computational Mathematics symbols.namesake symbols Series expansion Mathematics
Zdroj:	Applied Mathematics and Computation. 189:641-646
ISSN:	0096-3003
DOI:	10.1016/j.amc.2006.11.181
Popis:	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 (FFT). The numerical examples and the number of operations show the advantages of this method to some other usual methods.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::69e6a41241e53c0896e300be08314fae https://doi.org/10.1016/j.amc.2006.11.181 Zobrazit plný text záznamu Full Text from ScienceDirect