A new upwind difference analysis of an exponentially graded Bakhvalov-type mesh for singularly perturbed elliptic convection-diffusion problems
DOI10.1016/J.CAM.2022.114622zbMath1497.65113OpenAlexW4289927981MaRDI QIDQ2088798
Vinh Quang Mai, Zakia Hammouch, Thái Anh Nhan, Jugal Mohapatra
Publication date: 6 October 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114622
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some open questions in the numerical analysis of singularly perturbed differential equations
- Finite element approximation of convection-diffusion problems using an exponentially graded mesh
- A parameter robust finite element method for fourth order singularly perturbed problems
- Layer-adapted meshes for reaction-convection-diffusion problems
- A short note on the connection between layer-adapted exponentially graded and S-type meshes
- Modelling hyaluronan degradation by Streptococcus pneumoniae hyaluronate lyase
- Higher-order convergence with fractional-step method for singularly perturbed 2D parabolic convection-diffusion problems on Shishkin mesh
- Optimal uniform-convergence results for convection-diffusion problems in one dimension using preconditioning
- Preconditioning and uniform convergence for convection-diffusion problems discretized on Shishkin-type meshes
- A hybrid difference scheme on a Shishkin mesh for linear convection-diffusion problems
- An upwind difference scheme on a novel Shishkin-type mesh for a linear convection-diffusion problem
- The Bakhvalov mesh: a complete finite-difference analysis of two-dimensional singularly perturbed convection-diffusion problems
- A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection-diffusion problems
- Finite element analysis of an exponentially graded mesh for singularly perturbed problems
- An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems
- Robust hybrid schemes of higher order for singularly perturbed convection-diffusion problems
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Uniform Pointwise Convergence on Shishkin-Type Meshes for Quasi-Linear Convection-Diffusion Problems
- Semiconductor device modelling from the numerical point of view
- A Uniform Convergence Analysis for a Bakhvalov-Type Mesh with an Explicitly Defined Transition Point
- Analysis of the truncation error and barrier-function technique for a Bakhvalov-type mesh
- The optimization of methods of solving boundary value problems with a boundary layer
- Uniform pointwise convergence of difference schemes for convection-diffusion problems on layer-adapted meshes
- Uniform convergence with respect to a small parameter of a scheme with central difference on refining grids
- Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem
This page was built for publication: A new upwind difference analysis of an exponentially graded Bakhvalov-type mesh for singularly perturbed elliptic convection-diffusion problems