References
- Atkinson , K. E. 1997 . The Numerical Solution of Integral Equations of the Second Kind , Cambridge : Cambridge University Press .
- Linz , P. 1974 . A method for approximate solution of linear integro-differential equations . SIAM Journal of Numerical Analysis , 11 : 137 – 144 .
- Volk , W. 1985 . The numerical solution of linear integro-differential equations by projection methods . Journal of Integral Equations , 9 : 171 – 190 .
- Rashed , M. T. 2003 . Numerical solution of a special type of integro-differential equations . Applied Mathematics and Computation , 143 : 73 – 88 .
- Hosseini , S. M. and Shahmorad , S. 2003 . Numerical solution of a class of integro-differential equations by the Tau Method with an error estimation . Applied Mathematics and Computation , 136 : 559 – 570 .
- Ayad , A. 1996 . Spline approximation for first-order Feredholm integro-differential equation . Studia Universitatis Babes-Bolia , 41 ( 3 ) : 1 – 8 .
- Micala , G. and Weather , G. F. 1993 . Direct numerical spline methods for first order Fredholm integro -differential equation . Reveue D, Analyse Numerique et Theorie de L'Approximation , 53 ( 1 ) : 59 – 66 .
- Phillips , G. M. 1970 . Analysis of numerical iterative methods for solving integral and integro-differential equations . Computer Journal , 13 : 297 – 300 .
- Behiry , S. H. and Hashish , H. 2002 . Wavelet methods for the numerical solution of Fredholm integro-differential equations . International Journal of Applied Mathematics , 11 ( 1 ) : 27 – 35 .
- Lakestani , M. , Razzaghi , M. and Dehghan , M. 2006 . Semiorthogonal wavelets approximation for Fredholm integro-differential equations . Mathematical Problems in Engineering , : 1 – 12 . (2006)
- Elbarbary , E. M.E. 2003 . Chebyshev finite difference approximation for the boundary value problems . Applied Mathematics and Computation , 139 : 513 – 523 .
- Elbarbary , E. M.E. 2005 . Chebyshev finite difference method for the solution of boundary- layer equations . Applied Mathematics and Computation , 160 : 487 – 498 .
- Elbarbary , E. M.E. Chebyshev finite difference method for radiative effects in free convection flows . International Journal on Numerical Methods in Heat Fluid Flow , To appear
- Ghaly , A. Y. and Seddeek , M. A. 2004 . Chebyshev finite difference method for the effects of chemical reaction, heat and mass transfer on laminar flow along a semi infinite horizontal plate with temperature dependent viscosity . Chaos, Solitons and Fractals , 19 : 61 – 70 .
- Clenshaw , C. W. and Curtis , A. R. 1960 . A method for numerical integration on an automatic computer . Numerical Mathematics , 2 : 197 – 205 .
- Davis , P. J. and Rabinowitz , P. 1970 . Method of Numerical Integration , 2 , London/New York : Academic Press .
- Hosseyni , S. M. and Shahmorad , S. 2005 . Numerical piecewise approximate solution of Fredholm integro-differential equations by the Tau method . Applied Mathematical Modeling , 29 : 1005 – 1021 .
- Dehghan , M. 2006 . A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications . Numerical Methods for Partial Differential Equations , 22 : 220 – 257 .
- Dehghan , M. 2006 . Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices . Mathematics and Computers in Simulation , 71 : 16 – 30 .
- Dehghan , M. 2006 . Solution of a partial integro-differential equation arising from viscoelasticity . International Journal of Computer Mathematics , 83 : 123 – 129 .