Minimum principle for quadratic spline collocation discretization of a convection-diffusion problem


Katarina Surla, Zorica Uzelac, Ljiljana Teofanov


In this paper the quadratic spline difference scheme for a convection-diffusion problem is derived. With the suitable choice of collocation points we provide the discrete minimum principle. The numerical results implies the uniform convergence of order ${\cal O} (n^{-2} \ln^2 n).$