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Section B

Numerical solution of fourth-order integro-differential equations using Chebyshev cardinal functions

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Pages 1389-1394 | Received 14 Mar 2008, Accepted 11 Jun 2008, Published online: 26 May 2009

References

  • Agarwal , R. P. 1983 . Boundary value problems for higher order integro-differential equations . Nonlinear Anal. Theory Methods Appl. , 9 : 259 – 270 .
  • Agarwal , R. P. 1986 . Boundary Value Problems for High Ordinary Differential Equations , Singapore : World Scientific .
  • Boyd , J. P. 2001 . Chebyshev and Fourier Spectral Methods , 2 , Dover .
  • Dehghan , M. 2006 . Solution of a partial integro-differential equation arising from viscoelasticity . Internat. J. Comput. Math. , 83 : 123 – 120 .
  • Dehghan , M. and Saadatmandi , A. 2008 . Finite difference method for Fredholm integro-differential equation . Internat. J. Comput. Math. , 85 : 123 – 130 .
  • Dehghan , M. and Shakeri , F. 2008 . Solution of an integro-differential equation arising in oscillating magnetic fields using He's homotopy perturbation method . Progress In Electromagnetics Research, PIER , 78 : 361 – 376 .
  • Dehghan , M. and Shakeri , F. 2008 . Solution of parabolic integro-differential equations arising in heat conduction in materials with memory via He's variational iteration technique . Commun. Numer. Methods Eng. , in press
  • Hashim , I. 2006 . Adomian decomposition method for solving BVPs for fourth-order integro-differential equations . J. Comput. Appl. Math. , 193 : 658 – 664 .
  • Kythe , P. K. and Puri , P. 2002 . Computational Methods for Linear Integral Equations , New Orlans : University of New Orlans .
  • Shakeri , F. and Dehghan , M. 2008 . Solution of a model describing biological species living together using the variational iteration method . Math. Comput. Modelling , 48 : 685 – 699 .
  • Shakourifar , M. and Dehghan , M. 2008 . On the numerical solution of nonlinear systems of Volterra integro-differential equations with delay argument . Computing , 82 : 241 – 260 .
  • Sweilam , N. H. 2007 . Fourth order integro-differential equations using variational iteration method . Comput. Math. Appl. , 54 : 1086 – 1091 .
  • Wazwaz , A. M. 1997 . A First Course in Integral Equations , River Edge, NJ : World Scientific .
  • Wazwaz , A. M. 2001 . A reliable algorithm for solving boundary value problems for higher-order integro-differential equations . Appl. Math. Comput. , 118 : 327 – 342 .
  • Wazwaz , A. M. 2006 . A comparison study between the modified decomposition method and the traditional methods for solving nonlinear integral equations . Appl. Math. Comput. , 81 : 1703 – 1712 .

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