An adaptive grid method for a singularly perturbed convection-diffusion equation with a discontinuous convection coefficient
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Publication:6145335
DOI10.3934/NHM.2023067OpenAlexW4384210108MaRDI QIDQ6145335
Unnamed Author, Xiongfa Mai, Li-Bin Liu
Publication date: 2 February 2024
Published in: Networks and Heterogeneous Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/nhm.2023067
a posteriori error estimatesingularly perturbeddiscontinuous convection coefficientadaptive grid algorithm
Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)
Cites Work
- A parameter robust higher order numerical method for singularly perturbed two parameter problems with non-smooth data
- A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection-diffusion problems
- A robust adaptive grid method for a system of two singularly perturbed convection-diffusion equations with weak coupling
- An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers
- Optimal error estimate of upwind scheme on Shishkin-type meshes for singularly perturbed parabolic problems with discontinuous convection coefficients
- Fitted mesh method for singularly perturbed reaction-convection-diffusion problems with boundary and interior layers
- A parameter-uniform second order numerical method for a weakly coupled system of singularly perturbed convection-diffusion equations with discontinuous convection coefficients and source terms
- Numerical solution of singularly perturbed linear parabolic system with discontinuous source term
- Hybrid difference scheme for singularly perturbed reaction-convection-diffusion problem with boundary and interior layers
- Analysis and implementation of a computational technique for a coupled system of two singularly perturbed parabolic semilinear reaction-diffusion equations having discontinuous source terms
- A higher-order finite difference method for two-dimensional singularly perturbed reaction-diffusion with source-term-discontinuous problem
- A computational approach for a two-parameter singularly perturbed system of partial differential equations with discontinuous coefficients
- Nonlinear singular perturbation phenomena: theory and applications
- Maximum norm a posteriori error estimates for a singularly perturbed differential difference equation with small delay
- Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convec\-tion coefficient
- Uniform convergence analysis of finite difference approximations for singular perturbation problems on an adapted grid
- A hybrid difference scheme for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient
- Maximum Norm A Posteriori Error Estimates for a One-Dimensional Convection-Diffusion Problem
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- A parameter uniform numerical method for a system of singularly perturbed convection–diffusion equations with discontinuous convection coefficients
- Analysis of a System of Singularly Perturbed Convection-Diffusion Equations with Strong Coupling
- A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem
- Numerical treatment of two‐parameter singularly perturbed parabolic convection diffusion problems with non‐smooth data
- An adaptive difference scheme for parabolic delay differential equation with discontinuous coefficients and interior layers
- Approximation of derivative to a singularly perturbed second-order ordinary differential equation with discontinuous convection coefficient using hybrid difference scheme
- Numerical analysis for a class of coupled system of singularly perturbed time‐dependent convection‐diffusion equations with a discontinuous source term
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