Family of quadratic spline difference schemes for a convection–diffusion problem

DOI10.1080/00207160601138830zbMath1119.65073OpenAlexW2156186689MaRDI QIDQ3438800

Ljiljana Teofanov, Zorica Uzelac

Publication date: 29 May 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160601138830

zbMATH Keywords

convergencenumerical resultsconsistencysingular perturbationserror boundboundary layerlinear two point boundary value problemsdiscrete Green functionfinite difference schemes on Shishkin meshesquadratic splines approximations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (3)

The spectral method for solving systems of Volterra integral equations ⋮ A robust layer-resolving spline collocation method for a convection-diffusion problem ⋮ A robust spline collocation method for pricing American put options

Cites Work

• The midpoint upwind scheme
• Layer-adapted meshes for convection-diffusion problems
• A uniformly accurate spline collocation method for a normalized flux.
• Pointwise convergence of approximations to a convection-diffusion equation on a Shishkin mesh
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