Singularly perturbed convection–diffusion problems with boundary and weak interior layers

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摘要

In this paper a singularly perturbed convection–diffusion equation with a discontinuous source term is examined. Boundary and weak interior layers appear in the solution. A numerical method is constructed for this problem which involves an appropriate piecewise-uniform mesh. The method is shown to be uniformly convergent with respect to the singular perturbation parameter.

论文关键词:Singular perturbation,Convection–diffusion,Parameter-uniform,Interior payer

论文评审过程:Received 31 August 2002, Revised 24 June 2003, Available online 6 December 2003.

论文官网地址:https://doi.org/10.1016/j.cam.2003.09.033