A Chebyshev approximation for solving nonlinear integral equations of Hammerstein type

Applied Mathematics and Computation

Volumn 189, Issue 1, 2007, Pages 641-646

  Babolian, E ^a   Fattahzadeh, F ^b   Raboky, E Golpar ^c  

^a KHARAZMI UNIVERSITY   (Iran)

^b ISLAMIC AZAD UNIVERSITY   (Iran)

^c SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Chebyshev expansion; Fredholm Volterra Hammerstein integral equation; Nonlinear integral equations

Indexed keywords

CHEBYSHEV APPROXIMATION; FAST FOURIER TRANSFORMS; FUNCTION EVALUATION; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; PROBLEM SOLVING;

CHEBYSHEV EXPANSION; FREDHOLM VOLTERRA HAMMERSTEIN INTEGRAL EQUATION; HAMMERSTEIN TYPE; NONLINEAR INTEGRAL EQUATIONS;

NONLINEAR EQUATIONS;

EID: 34248389404     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.11.181     Document Type: Article

References (13)

1. Tricomi F.G. Integral Equations (1982), Dover
2. Brunner H. Implicity linear collocation method for nonlinear Volterra equations. J. Appl. Numer. Math. 9 (1982) 235-247
3. L.J. Lardy, A variation of Nysrtom's method for Hammerstein integral equations 3 (1982) 123-129.
4. Kumar S., and Sloan I.H. A new collocation-type method for Hammerstein integral equations. J. Math. Comput. 48 (1987) 123-129
5. Guoqiang H. Asymptotic error expansion variation of a collocation method for Volterra-Hammerstein equations. J. Appl. Numer. Math. 13 (1993) 357-369
6. Ordokhani Y. Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via rationalized Haar functions. Appl. Math. Comput. 180 (2006) 436-443
7. Yousefi S., and Razzaghi M. Legendre wavelet method for the nonlinear Volterra-Fredholm integral equations. Math. Comp. Simul. 70 (2005) 1-8
8. Yashilbas S. Taylor polynomial solution of nonlinear Volterra-Fredholm integral equations. Appl. Math. Comput. 127 (2002) 195-206
9. Akyuz-Dascioglu A., and Cerdik Yaslan H. An approximation method for the solution of nonlinear integral equations. Appl. Math. Comput. 174 (2006) 619-629
10. Borzabadi A.K., Kamyad A.V., and Mehne H.H. A different approach for solving the nonlinear Fredholm integral equations of the second kind. Appl. Math. Comput. 173 (2006) 724-735
11. E. Babolian, F. Fattahzadeh, Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration, Appl. Math. Comput., in press, doi:10.1016/j.amc.2006.10.008.
12. E. Babolian, F. Fattahzadeh, Numerical Computation method in solving integral equations by using Chebyshev wavelet operational matrix of integration, Appl. Math. Comput., in press, doi:10.1016/j.amc.2006.10.073.
13. Delves L.M., and Mohamad J.L. Computational Methods for Integral Equations (1985), Cambridge University Press