The stability and convergence analysis for singularly perturbed Sobolev problems with Robin type boundary condition
From MaRDI portal
Publication:6111377
DOI10.1515/gmj-2023-2004OpenAlexW4320725845MaRDI QIDQ6111377
Publication date: 6 July 2023
Published in: Georgian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/gmj-2023-2004
Singular perturbations in context of PDEs (35B25) 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) Numerical analysis (65-XX)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A fitted numerical method for singularly perturbed parabolic reaction-diffusion problems
- A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction-diffusion problems
- Parameter uniform numerical scheme for time dependent singularly perturbed convection-diffusion-reaction problems with general shift arguments
- Using reproducing kernel for solving a class of singularly perturbed problems
- Richardson extrapolation technique for singularly perturbed parabolic convection--diffusion problems
- A parameter uniform difference scheme for singularly perturbed parabolic problem in one space dimension
- Difference schemes for the singularly perturbed Sobolev periodic boundary problem.
- Another uniform convergence analysis technique of some numerical methods for parabolic singularly perturbed problems
- Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations
- A parameter-uniform numerical scheme for the parabolic singularly perturbed initial boundary value problems with large time delay
- Richardson extrapolation technique for singularly perturbed system of parabolic partial differential equations with exponential boundary layers
- High order parameter-uniform discretization for singularly perturbed parabolic partial differential equations with time delay
- A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations
- Numerical treatment for the class of time dependent singularly perturbed parabolic problems with general shift arguments
- Fourth-order schemes of exponential type for singularly perturbed parabolic partial differential equations
- A Fitted Numerov Method for Singularly Perturbed Parabolic Partial Differential Equation with a Small Negative Shift Arising in Control Theory
- PARAMETER-UNIFORM FINITE ELEMENT METHOD FOR TWO-PARAMETER SINGULARLY PERTURBED PARABOLIC REACTION-DIFFUSION PROBLEMS
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Numerical treatment of two‐parameter singularly perturbed parabolic convection diffusion problems with non‐smooth data
- ε-Uniformly convergent numerical scheme for singularly perturbed delay parabolic partial differential equations
- Robust Finite Difference Method for Singularly Perturbed Two-Parameter Parabolic Convection-Diffusion Problems
- A parameter-uniform higher order finite difference scheme for singularly perturbed time-dependent parabolic problem with two small parameters
- A second-order difference scheme for the singularly perturbed Sobolev problems with third type boundary conditions on Bakhvalov mesh
- Uniform difference method for singularly pertubated delay Sobolev problems
- A higher order difference method for singularly perturbed parabolic partial differential equations
- SPLINE DIFFERENCE SCHEME FOR TWO-PARAMETER SINGULARLY PERTURBED PARTIAL DIFFERENTIAL EQUATIONS
- Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems
- General Boundary Value Problems for Differential Equations of Sobolev Type
- A robust numerical approach for singularly perturbed time delayed parabolic partial differential equations
