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∞ norm. Numerical experiments support the theoretical results.