Parameter-uniform convergence analysis on a Bakhvalov-type mesh with a smooth mesh-generating function using the preconditioning approach
- Authors
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- Keywords:
- singular perturbation, convection-diffusion, boundary-value problem, Bakhvalov-type mesh, finite differences, uniform convergence, preconditioning
- Abstract
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The linear singularly perturbed convection-diffusion problem in one dimension is considered and its discretization on a Bakhvalov-type mesh generated by a smooth mesh-generating function is analyzed. The preconditioning technique is used to obtain the first-order pointwise convergence uniform in the perturbation parameter.
- References
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- Additional Files
- Published
- 25-03-2023
- Issue
- Vol. 2 No. 1 (2024)
- Section
- Research Article
- License
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Copyright (c) 2024 Letters on Applied and Pure Mathematics
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Parameter-uniform convergence analysis on a Bakhvalov-type mesh with a smooth mesh-generating function using the preconditioning approach. (2023). Letters on Applied and Pure Mathematics, 2(1), 21-34. https://lapmjournal.com/index.php/lapm/article/view/v2n1a16
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