Solution of nonlinear Fredholm integro-differential equations using a hybrid of block pulse functions and normalized Bernstein polynomials

Journal of Computational and Applied Mathematics

Volumn 260, Issue , 2014, Pages 258-265

  Behiry, S H ^a  

^a KING ABDULAZIZ UNIVERSITY   (Saudi Arabia)

Author keywords

Bernstein polynomials; Block pulse functions; Hybrid functions; Nonlinear Fredholm integro differential equations

Indexed keywords

BERNSTEIN POLYNOMIAL; BLOCK-PULSE FUNCTION; FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS; HYBRID FUNCTIONS; NONLINEAR ALGEBRAIC EQUATIONS; ORTHONORMAL;

DIFFERENTIAL EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; POLYNOMIALS;

NONLINEAR EQUATIONS;

EID: 84887117347     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2013.09.036     Document Type: Article

References (18)

1. M. Dehghan Chebyshev finite difference for Fredholm integro-differential equation Int. J. Comput. Math. 85 1 2008 123 130
2. M. Lackiewicz, M. Rahman, and B.D. Welfert Numerical solution of a Fredholm integro-differential equation modeling neural networks Appl. Numer. Math. 56 2006 423 432
3. M. Lakestani, M. Razzaghi, and M. Dehghan Semiorthogonal spline wavelets approximation for Fredholm integro-differential equations Math. Probl. Eng. 1 2006 1 12 10.1155/MPE/2006/96184
4. S.H. Behiry, and H. Hashish Wavelet methods for the numerical solution of Fredholm integro-deferential equations Int. J. Appl. Math. 11 1 2002 27 35
5. S. Islam, I. Aziz, and M. Fayyaz A new approach for numerical solution of integro-differential equations via Haar wavelets Int. J. Comput. Math. 2013 10.1080/00207160.2013.770481
6. Y. Ordokhani An application of Walsh functions for Fredholm-Hammerstein integro-differential equations Int. J. Contemp. Math. Sci. 5 22 2010 1055 1063
7. S. Yeganeh, Y. Ordokhani, and A. Saadatmandi A sinc-collocation method for second-order boundary value problems of nonlinear integro-differential equation J. Inf. Comput. Sci. 7 2 2012 151 160
8. Sh.S. Behzadi, S. Abbasbandy, T. Allahviranloo, and A. Yildirim Application of homotopy analysis method for solving a class of nonlinear Volterra-Fredholm integro-differential equations J. Appl. Anal. Comput. 2 2 2012 127 136
9. S.H. Behiry, and S.I. Mohamed Solving high-order nonlinear Volterra-Fredholm integro-differential equations by differential transform method Nat. Sci. 4 8 2012 581 587
10. K. Maleknejad, B. Basirat, and E. Hashemizadeh Hybrid Legendre polynomials and block-pulse functions approach for nonlinear Volterra-Fredholm integro-differential equations Comput. Math. Appl. 61 2011 2821 2828
11. R. Ezzati, and S. Najafalizadeh Application of Chebyshev polynomials for solving nonlinear Volterra-Fredholm integral equations system and convergence analysis Indian J. Sci. Technol. 5 2 2012 2060 2064
12. A.H. Bhrawy, E. Tohidi, and F. Soleymani A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals Appl. Math. Comput. 219 2012 482 497
13. Z.H. Jiang, and W. Schaufelberger Block Pulse Functions and their Applications in Control Systems 1992 Springer-Verlag Berlin, Heidelberg
14. S.A. Yousefi, Z. Barikbin, and M. Dehghan Ritz-Galerkin method with Bernstein polynomial basis for finding the product solution form of heat equation with non-classic boundary conditions Internat. J. Numer. Methods Heat Fluid Flow 22 1 2012 39 48 10.1108/09615531211188784
15. K. Maleknejad, E. Hashemizadeh, and B. Basirat Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations Commun. Nonlinear Sci. Numer. Simul. 17 2012 52 61
16. G. Tachev Pointwise approximation by Bernstein polynomials Bull. Aust. Math. Soc. 85 3 2012 353 358
17. Y. Ordokhani, and S. Davaei far Application of the Bernstein polynomials for solving the nonlinear Fredholm integro-differential equations J. Appl. Math. Bioinform. 1 2 2011 13 31
18. K. Jalaei, M. Zarebnia, and M.M. Chalaki Development of the sinc method for nonlinear integro-differential equations Aust. J. Basic Appl. Sci. 4 11 2010 5508 5515