A sequential approach for solving the Fredholm integro-differential equation

Applied Numerical Mathematics

Volumn 62, Issue 4, 2012, Pages 297-304

  Berenguer, M I ^a   Fernandez Munoz M V ^a   Garralda Guillem, A I ^a   Ruiz Galan M ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

Fredholm integro differential equation; Numerical methods; Schauder bases

Indexed keywords

CONTINUOUS FUNCTIONS; FREDHOLM; NUMERICAL APPROXIMATIONS; NUMERICAL EXAMPLE; SCHAUDER BASIS; SEQUENTIAL APPROACH;

APPROXIMATION THEORY; BANACH SPACES; DIFFERENTIAL EQUATIONS; NUMERICAL METHODS;

INTEGRODIFFERENTIAL EQUATIONS;

EID: 84857791326     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2011.03.009     Document Type: Conference Paper

References (14)

1. M.I. Berenguer, M.A. Fortes, A.I. Garralda-Guillem, and M. Ruiz Galán Linear Volterra integro-differential equation and Schauder bases Appl. Math. Comput. 159 2 2004 495 507
2. M.I. Berenguer, M.V. Fernández Muñoz, A.I. Garralda-Guillem, M. Ruiz Galán, Numerical treatment of fixed point applied to the nonlinear Fredholm integral equation, Fixed Point Theory Appl., Article ID 735638, 8 p., doi:10.1155/2009/735638, 2009.
3. M.I. Berenguer, A.I. Garralda-Guillem, M. Ruiz Galán, Biorthogonal systems approximating the solution of the nonlinear Volterra integro-differential equation, Fixed Point Theory Appl., Article ID 470149, 9 p., doi:10.1155/2010/470149, 2010.
4. H. Danfu, and S. Xufeng Numerical solution of integro-differential equations by using CAS wavelet operational matrix of integration Appl. Math. Comput. 194 2007 460 466 (Pubitemid 350088986)
5. P. Darania, and A. Ebadian A method for the numerical solution of the integro-differential equations Appl. Math. Comput. 188 2007 657 668 (Pubitemid 46686756)
6. V.V. Dyakin, and S.V. Marvin Initial-boundary value problem and integrodifferential equations of electrodynamics for an inhomogeneous conductive body Comput. Math. Math. Phys. 48 2008 275 283
7. D. Gámez, A.I. Garralda-Guillem, and M. Ruiz Galán Nonlinear initial-value problems and Schauder bases Nonlinear Anal. 63 2005 97 105 (Pubitemid 41252325)
8. D. Gámez, A.I. Garralda-Guillem, and M. Ruiz Galán High-order nonlinear initial-value problems countably determined J. Comput. Appl. Math. 228 2009 77 82
9. M.A. Goldberg Numerical Solution of Integral Equations 1990 Plenum New York
10. M. He A class of integrodifferential equations and applications Discrete Contin. Dyn. Syst. (Suppl.) 2005 386 396
11. N.N. Nefedov, and A.G. Nikitin The Cauchy problem for a singularly perturbed integro-differential Fredholm equation Comput. Math. Math. Phys. 47 2007 629 637
12. A. Palomares, and M. Ruiz Galán Isomorphisms, Schauder bases and numerical solution of integral and differential equations Numer. Funct. Anal. Optim. 26 2005 129 137 (Pubitemid 40494005)
13. Z. Semadeni Schauder Bases in Banach Spaces of Continuous Functions 1982 Springer-Verlag Berlin
14. E. Yusufoǧlu (Agadjanov) Improved homotopy perturbation method for solving Fredholm type integro-differential equations Chaos Solitons Fractals 41 2009 28 37