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Section B

Approximate solution of systems of Volterra integral equations with error analysis

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Pages 3052-3062 | Received 09 Mar 2008, Accepted 18 Mar 2009, Published online: 03 Nov 2010

References

  • Akyüz-Daşcloǧlu, A. , 2004. Chebyshev polynomial solutions of systems of linear integral equations , Appl. Math. Comput. 151 (2004), pp. 221–232.
  • Babolian, E. , Biazar, J. , and Vahidi, A. R. , 2004. On the decomposition method for system of linear equations and system of linear Volterra integral equations , Appl. Math. Comput. 147 (2004), pp. 19–27.
  • Biazar, J. , and Ghazvini, H. , 2009. He's homotopy perturbation method for solving systems of Volterra integral equations of the second kind , Chaos, Solitons and Fractals 39 (2009), pp. 770–777.
  • Delves, L. M. , and Mohamed, J. L. , 1985. Computational Methods for Integral Equations . Cambridge: Cambridge University Press; 1985.
  • Koonprasert, S. , and Bowers, K. L. , 2004. Block matrix Sinc-Galerkin solution of the wind-driven current problem , Appl. Math. Comput. 155 (2004), pp. 607–635.
  • El-Gamel, M. , 2007. Sinc and the numerical solution of fifth-order boundary value problems , Appl. Math. Comput. 187 (2007), pp. 1417–1433.
  • Lund, J. , and Bowers, K. , 1992. Sinc Methods for Quadrature and Differential Equations . Philadelphia, PA: SIAM; 1992.
  • Maleknejad, K. , and Shahrezaee, M. , 2004. Using Runge–Kutta method for numerical solution of the system of Volterra integral equation , Appl. Math. Comput. 149 (2004), pp. 399–410.
  • Mohsen, A. , and El-Gamel, M. , 2007. A Sinc-Collocation method for the linear Fredholm integro-differential equations , Z. Angew. Math. Phys. 58 (2007), pp. 380–390.
  • Narasimhan, S. , Majdalani, J. , and Stenger, F. , 2002. A first step in applying the Sinc collocation method to the nonlinear Navier-Stokes equatios , Numer. Heat Transfer, Part B 41 (2002), pp. 447–462.
  • Quan, P. H. , Trong, D. D. , and Dinh Alain, P. N. , 2006. Sinc approximation of the heat flux on the boundary of a two-dimensional finite slab , Numer. Funct. Anal. Optim. 27 (2006), pp. 685–695.
  • Rabbani, M. , Maleknejad, K. , and Aghazadeh, N. , 2007. Numerical computational solution of the Volterra integral equations system of the second kind by using an expansion method , Appl. Math. Comput. 187 (2007), pp. 1143–1146.
  • Stenger, F. , 1993. Numerical Methods Based on Sinc and Analytic Functions . New York: Springer-Verlag; 1993.
  • Rashidinia, J. , and Zarebnia, M. , 2007. New approach for numerical solution of Hammerstein integral equations , Appl. Math. Comput. 185 (2007), pp. 147–154.
  • Rashidinia, J. , and Zarebnia, M. , 2007. Solution of a Volterra integral equation by the Sinc-collocation method , J. Comput. Appl. Math. 206 (2007), pp. 801–813.
  • Yin, G. , 1994. Sinc-Collocation method with orthogonalization for singular poisson-like problems , Math. Comput. 62 (205) (1994), pp. 21–40.

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