Parameter-uniform finite difference scheme for a system of coupled singularly perturbed convection–diffusion equations
From MaRDI portal
Publication:4653721
DOI10.1080/0020716042000301798zbMath1068.65101OpenAlexW2139322509MaRDI QIDQ4653721
Publication date: 7 March 2005
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/0020716042000301798
stabilitymaximum principlesingular perturbationuniform convergencenumerical experimentsShishkin meshesfinite difference methodsM-matrixconvection diffusion equations
Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)
Related Items (33)
Layer structure and the galerkin finite element method for a system of weakly coupled singularly perturbed convection-diffusion equations with multiple scales ⋮ A parameter robust fitted mesh finite difference method for a system of two reaction-convection-diffusion equations ⋮ Numerical analysis of singularly perturbed system of parabolic convection-diffusion problem with regular boundary layers ⋮ A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations ⋮ Efficient High-Order Discretization Methods for Coupled Systems of Singularly Perturbed Parabolic Convection-Diffusion Problems ⋮ Solving systems of singularly perturbed convection diffusion problems via initial value method ⋮ 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 ⋮ An efficient adaptive grid method for a system of singularly perturbed convection-diffusion problems with Robin boundary conditions ⋮ Numerical analysis of a fully discrete stabilized FEM for system of singularly perturbed parabolic IBVPs ⋮ Numerical analysis for a class of coupled system of singularly perturbed time‐dependent convection‐diffusion equations with a discontinuous source term ⋮ Analysis of a numerical technique for a singularly perturbed parabolic convection–diffusion interface problem with time delay ⋮ Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE ⋮ A fast uniformly accurate global numerical approximation to solution and scaled derivative of system of singularly perturbed problems with multiple diffusion parameters on generalized adaptive mesh ⋮ Parameter uniform numerical method for a system of singularly perturbed parabolic convection-diffusion equations ⋮ Highly accurate method for a singularly perturbed coupled system of convection-diffusion equations with Robin boundary conditions ⋮ Convergence analysis of a layer resolving numerical techniquefor a class of coupled system of singularly perturbed parabolic convection-diffusion equations having an interface ⋮ Efficient approximation of solution derivatives for system of singularly perturbed time-dependent convection-diffusion PDEs on Shishkin mesh ⋮ Parameter uniform numerical method for a system of two coupled singularly perturbed parabolic convection-diffusion equations ⋮ NUMERICAL METHOD FOR A SYSTEM OF SINGULARLY PERTURBED CONVECTION DIFFUSION EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS ⋮ A robust adaptive grid method for a system of two singularly perturbed convection-diffusion equations with weak coupling ⋮ Approximation of derivative in a system of singularly perturbed convection-diffusion equations ⋮ A second-order hybrid finite difference scheme for a system of singularly perturbed initial value problems ⋮ A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature ⋮ Robin boundary value problems for a singularly perturbed weakly coupled system of convection-diffusion equations having discontinuous source term ⋮ A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms ⋮ Approximation of derivative in a system of singularly perturbed convection-diffusion equations ⋮ Fitted finite difference method for third order singularly perturbed convection diffusion equations with integral boundary condition ⋮ Richardson extrapolation technique for singularly perturbed system of parabolic partial differential equations with exponential boundary layers ⋮ Global uniform convergence of a numerical method for a weakly coupled system of singularly perturbed convection-diffusion equations ⋮ A parameter-uniform fitted mesh method for a weakly coupled system of three partially singularly perturbed convection-diffusion equations ⋮ Numerical solutions of a system of singularly perturbed reaction-diffusion problems ⋮ A WEAKLY COUPLED SYSTEM OF SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS SOURCE TERM ⋮ A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems
Cites Work
- A finite difference analysis of a streamline diffusion method on a Shishkin mesh
- The midpoint upwind scheme
- A finite element analysis of a coupled system of singularly perturbed reaction-diffusion equations.
- An upwind difference scheme on a novel Shishkin-type mesh for a linear convection-diffusion problem
- A survey of numerical techniques for solving singularly perturbed ordinary differential equations
- Uniform Pointwise Convergence on Shishkin-Type Meshes for Quasi-Linear Convection-Diffusion Problems
This page was built for publication: Parameter-uniform finite difference scheme for a system of coupled singularly perturbed convection–diffusion equations
