The discrete minimum principle for quadratic spline discretization of a singularly perturbed problem

K. Surla, Z. Uzelac and Lj. Teofanov

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 8, 2490-2505

Abstract: We consider a singularly perturbed boundary value problem with two small parameters. The problem is numerically treated by a quadratic spline collocation method. The suitable choice of collocation points provides the discrete minimum principle. Error bounds for the numerical approximations are established. Numerical results give justification of the parameter-uniform convergence of the numerical approximations.

Keywords: Singular perturbation; Convection–diffusion problems; Two small parameters; Shishkin mesh; Spline difference schemes (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:8:p:2490-2505

DOI: 10.1016/j.matcom.2009.01.007

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