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.
Recommended Citation
Nhan, T. A., & Vulanović, R. (2023). Analysis of a second-order hybrid scheme on Bakhvalov-type meshes: The truncation-error and barrier-function approach. Applied Numerical Mathematics, 186, 84–99. https://doi.org/10.1016/j.apnum.2023.01.001