Numerical Solution of the Fredholme-Volterra Integral Equation by the Sinc Function

Show more

References

[1] S. Fayazzadeh and M. Lotfi, “Collocation Method for Fredholm-Volterra Integtral Equations with Weakly Kernels,” International Journal of Mathematical Modelling & Computations, Vol. 1, 2011, pp. 59-58

[2] A. Shahsavaran, “Numerical Solution of Nonlinear Fredholm-Volterra Integtral Equations via Piecewise Constant Function by Collocation Method,” American Journal of Computational Mathematics, Vol. 1, No. 2, 2011, pp. 134- 138.

[3] F. Stenger, “Numerical Methods Based on the Whittaker Cardinal or Sinc Functions,” SIAM Review, Vol. 23, No. 2, 1981, pp. 165-224.

[4] J. Lund, “Symmetrization of the Sinc-Galerkin Method for Boundary Value Problems,” Mathematics of Computation, Vol. 47, No. 176, 1986, pp. 571-588.

[5] B. Bialecki, “Sinc-Collocation Methods for Two-Point Boundary Value Problems,” IMA Journal of Numerical Analysis, Vol. 11, No. 3, 1991, pp. 357-375.
doi:10.1093/imanum/11.3.357

[6] N. Eggert, M. Jarrat and J. Lund, “Sinc Function Computation of the Eigenvalues of Sturm—Liouville Problems,” Journal of Computational Physics, Vol. 69, No. 1, 1987, pp. 209-229. doi:10.1016/0021-9991(87)90163-X

[7] M. A. Abdou and O. L. Mustafa, “Fredholm-Volterra Integral Equation in the Contact Problem,” Applied Mathematics and Computation, Vol. 138, No. 2-3, 2002, pp. 1- 17.

[8] J. Land and K. Bowers, “Sinc Methods for Quadrature and Differential Equations,” Society for Industrial and Applied Mathematics, Philadelphia, 1992.

[9] F. Stenger, “Numerical Methods Based on Sinc and Analytic Function,” Springer-Verlag, New York, 1993.

[10] J. Rashidinia and M. Zarebnia, “Solution of a Volterra Integral Equation by the Sinc-Collocation Method,” Journal of Computational and Applied Mathematics, Vol. 206, No. 2, 2007, pp. 801-813. doi:10.1016/j.cam.2006.08.036