Analysis of a second-order hybrid scheme on Bakhvalov-type meshes: The truncation-error and barrier-function approach

Document Type

Article

Publication Date

4-2023

Publisher

Elsevier

Abstract

A finite-difference method is considered for solving linear singularly perturbed convection-diffusion problems in one dimension. The previous proof of parameter-uniform convergence by the truncation-error and barrier-function approach on Bakhvalov-type meshes is extended to a hybrid second-order scheme. A new representation of the meshes is also proposed.

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