Parameter-robust higher-order time-accurate computational method for singularly perturbed time-dependent semilinear convection-diffusion PDEs with discontinuous data
DOI10.1002/mma.10070MaRDI QIDQ6562661
Kaushik Mukherjee, Narendra Singh Yadav
Publication date: 27 June 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
uniform convergenceCrank-Nicolson schemelayer-adapted meshfitted mesh methoddiscontinuous source functionsemilinear singularly perturbed parabolic PDE
Reaction-diffusion equations (35K57) 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
- Unnamed Item
- Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction-diffusion boundary-value problems
- Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems
- Optimal error estimate of upwind scheme on Shishkin-type meshes for singularly perturbed parabolic problems with discontinuous convection coefficients
- \(\varepsilon\)-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 Robin type boundary value problem with discontinuous source term
- A parameter uniform difference scheme for singularly perturbed parabolic problem in one space dimension
- A system of convection-diffusion equations with small diffusion coefficient arising in semiconductor physics
- Singularly perturbed convection--diffusion problems with boundary and weak interior layers.
- A uniformly convergent scheme on a nonuniform mesh for convection-diffusion parabolic problems
- Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature
- Analysis and implementation of a computational technique for a coupled system of two singularly perturbed parabolic semilinear reaction-diffusion equations having discontinuous source terms
- On \(\varepsilon \)-uniform higher order accuracy of new efficient numerical method and its extrapolation for singularly perturbed parabolic problems with boundary layer
- A computational approach for a two-parameter singularly perturbed system of partial differential equations with discontinuous coefficients
- Uniformly convergent new hybrid numerical method for singularly perturbed parabolic problems with interior layers
- A non-uniform difference scheme for solving singularly perturbed 1D-parabolic reaction-convection-diffusion systems with two small parameters and discontinuous source terms
- An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh
- Parameter uniform optimal order numerical approximation of a class of singularly perturbed system of reaction diffusion problems involving a small perturbation parameter
- 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
- Second-order linear parabolic equations with a small parameter
- Computational cost reduction for coupled system of multiple scale reaction diffusion problems with mixed type boundary conditions having boundary layers
- AN ALMOST-SECOND-ORDER METHOD FOR A SYSTEM OF SINGULARLY PERTURBED CONVECTION–DIFFUSION EQUATIONS WITH NONSMOOTH CONVECTION COEFFICIENTS AND SOURCE TERMS
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Difference Methods for Singular Perturbation Problems
- Numerical treatment of two‐parameter singularly perturbed parabolic convection diffusion problems with non‐smooth data
- A Uniformly Convergent Finite Difference Scheme for a Singularly Perturbed Semilinear Equation
- Iterative Solution of Nonlinear Equations in Several Variables
- PARAMETER-UNIFORM IMPROVED HYBRID NUMERICAL SCHEME FOR SINGULARLY PERTURBED PROBLEMS WITH INTERIOR LAYERS
- A finite-difference scheme for a coupled system of singularly perturbed time-dependent reaction–diffusion equations with discontinuous source terms
- A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems
- A class of singularly perturbed semilinear differential equations with interior layers
- 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
- A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms
- Parameter‐uniform numerical method for singularly perturbed 2‐D parabolic convection–diffusion problem with interior layers
- Stability and error analysis of an efficient numerical method for convection dominated parabolic PDEs with jump discontinuity in source function on modified layer-adapted mesh
- Efficient parameter-robust numerical methods for singularly perturbed semilinear parabolic PDEs of convection-diffusion type
- Numerical approximation of system of singularly perturbed convection-diffusion problems on different layer-adapted meshes
Related Items (1)
This page was built for publication: Parameter-robust higher-order time-accurate computational method for singularly perturbed time-dependent semilinear convection-diffusion PDEs with discontinuous data