On the Approximation of Derivatives of Singularly Perturbed Boundary Value Problems

DOI10.1137/0908034zbMath0619.65071OpenAlexW1968815928MaRDI QIDQ3756434

Vincent J. Ervin, William J. Layton

Publication date: 1987

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0908034

zbMATH Keywords

finite difference methodconvection-diffusionNumerical experimentssingularly perturbed boundary value problemsexponentially fitted approximation

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items (5)

Parameter-uniform numerical method for global solution and global normalized flux of singularly perturbed boundary value problems using grid equidistribution ⋮ A fast uniformly accurate global numerical approximation to solution and scaled derivative of system of singularly perturbed problems with multiple diffusion parameters on generalized adaptive mesh ⋮ A numerical layer resolving method for the flow over a curved surface ⋮ Uniformly convergent hybrid schemes for solutions and derivatives in quasilinear singularly perturbed BVPs ⋮ Approximation of derivatives in a convection-diffusion two-point boundary value problem

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