Numerical treatment of singularly perturbed parabolic differential difference equations
zbMATH Open1542.65096MaRDI QIDQ6585979
Gemechis File Duressa, Mesfin Mekuria Woldaregay
Publication date: 12 August 2024
Published in: Memoirs on Differential Equations and Mathematical Physics (Search for Journal in Brave)
Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) 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
- Title not available (Why is that?)
- Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters
- 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
- Parameter uniform numerical scheme for time dependent singularly perturbed convection-diffusion-reaction problems with general shift arguments
- A parameter-uniform numerical method for time-dependent singularly perturbed differential-difference equations
- The exponential asymptotic stability of singularly perturbed delay differential equations with a bounded lag
- \(\epsilon\) -uniformly convergent fitted methods for the numerical solution of the problems arising from singularly perturbed general ddes
- Upwind and midpoint upwind difference methods for time-dependent differential difference equations with layer behavior
- New finite difference methods for singularly perturbed convection-diffusion equations
- A fitted operator finite difference method of lines for singularly perturbed parabolic convection-diffusion problems
- Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature
- 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
- Uniformly convergent hybrid numerical method for singularly perturbed delay convection-diffusion problems
- Fitted numerical methods for singularly perturbed one-dimensional parabolic partial differential equations with small shifts arising in the modelling of neuronal variability
- A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and 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
- A uniformly convergent hybrid scheme for singularly perturbed system of reaction-diffusion Robin type boundary-value problems
- HIGHER-ORDER PARAMETER UNIFORM CONVERGENT SCHEMES FOR ROBIN TYPE REACTION-DIFFUSION PROBLEMS USING ADAPTIVELY GENERATED GRID
- High-order numerical methods for one-dimensional parabolic singularly perturbed problems with regular layers
- NONSTANDARD FINITE DIFFERENCE METHODS
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Higher order numerical approximation for time dependent singularly perturbed differential‐difference convection‐diffusion equations
- An implicit scheme for singularly perturbed parabolic problem with retarded terms arising in computational neuroscience
- Numerical treatment of two‐parameter singularly perturbed parabolic convection diffusion problems with non‐smooth data
- Numerical solution of time‐fractional singularly perturbed convection–diffusion problems with a delay in time
- UNIFORMLY CONVERGENT NUMERICAL METHOD FOR SINGULARLY PERTURBED DELAY PARABOLIC DIFFERENTIAL EQUATIONS ARISING IN COMPUTATIONAL NEUROSCIENCE
- A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems
- A higher order difference method for singularly perturbed parabolic partial differential equations
- Almost second-order uniformly convergent numerical method for singularly perturbed convection–diffusion–reaction equations with delay
- Quadratic B‐spline collocation method for time dependent singularly perturbed differential‐difference equation arising in the modeling of neuronalactivity
This page was built for publication: Numerical treatment of singularly perturbed parabolic differential difference equations
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6585979)