Parameter‐uniform numerical method for singularly perturbed 2‐D parabolic convection–diffusion problem with interior layers
DOI10.1002/mma.7975zbMath1527.65073OpenAlexW3216555952MaRDI QIDQ6180393
Srinivasan Natesan, Anirban Majumdar
Publication date: 19 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.7975
uniform convergencefinite difference schemeinterior layerpiecewise-uniform meshessingularly perturbed 2-D parabolic convection-diffusion problem
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Cites Work
- Unnamed Item
- Unnamed Item
- \(\varepsilon\)-uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with interior layers
- A parallel boundary value technique for singularly perturbed two-point boundary value problems
- Fitted mesh method for singularly perturbed reaction-convection-diffusion problems with boundary and interior layers
- A lower bound for the smallest singular value of a matrix
- A numerical algorithm for singular perturbation problems exhibiting weak boundary layers.
- Numerical solution of a reaction-diffusion elliptic interface problem with strong anisotropy
- Singularly perturbed convection--diffusion problems with boundary and weak interior layers.
- Singularly perturbed parabolic problems with non-smooth data.
- Higher-order convergence with fractional-step method for singularly perturbed 2D parabolic convection-diffusion problems on Shishkin mesh
- Alternating direction numerical scheme for singularly perturbed 2D degenerate parabolic convection-diffusion problems
- Uniformly convergent finite volume difference scheme for 2D convection-dominated problem with discontinuous coefficients
- Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convec\-tion coefficient
- An efficient numerical method for singular perturbation problems
- A hybrid difference scheme for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient
- A high order uniformly convergent alternating direction scheme for time dependent reaction-diffusion singularly perturbed problems
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Difference Methods for Singular Perturbation Problems
- An alternating direction scheme on a nonuniform mesh for reaction-diffusion parabolic problems
- SCHEMES CONVERGENT Ε-UNIFORMLY FOR PARABOLIC SINGULARLY PERTURBED PROBLEMS WITH A DEGENERATING CONVECTIVE TERM AND A DISCONTINUOUS SOURCE
- Anϵ-uniform hybrid numerical scheme for a singularly perturbed degenerate parabolic convection–diffusion problem
