The Structure of Spline Collocation Matrix for Singularly Perturbation Problems with Two Small Parameters

نویسندگان

  • Katarina Surla
  • Ljiljana Teofanov
  • Zorica Uzelac
  • Z. Uzelac
چکیده

We consider a spline difference scheme on a piecewise uniform Shishkin mesh for a singularly perturbed boundary value problem with two parameters. We show that the discrete minimum principle holds for a suitably chosen collocation points. Furthermore, bounds on the discrete counterparts of the layer functions are given. Numerical results indicate uniform convergence. AMS Mathematics Subject Classification (2000): 34E15, 65L10, 65L12

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تاریخ انتشار 2005