Uniform second-order pointwise convergence of a central difference approximation for a quasilinear convection-diffusion problem

[摘要] A singularly perturbed quasilinear two-point boundary value problem with an exponential boundary layer is considered. The problem is discretized using the standard central difference scheme on generalized Shishkin-type meshes. We give a uniform second-order error estimate in a discrete L-infinity norm. Numerical experiments support the theoretical results. (C) 2001 Elsevier Science B.V. All rights reserved.

[发布日期] 2001-12-15

[关键词] convection-diffusion problems;quasilinear problems;central difference scheme;singular perturbation;Shishkin-type mesh