A high order robust numerical scheme for the generalized Stein's model of neuronal variability
DOI10.1080/10236198.2021.1918686OpenAlexW3169809198MaRDI QIDQ5156092
Publication date: 14 October 2021
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2021.1918686
singular perturbationnon-standard finite difference methoddifferential-difference equationsconvection diffusion parabolic problemfitted operator\( \theta\) scheme
Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction-diffusion problems
- Error estimates for a class of partial functional differential equation with small dissipation
- Parameter uniform numerical scheme for time dependent singularly perturbed convection-diffusion-reaction problems with general shift arguments
- A parameter uniform difference scheme for parabolic partial differential equation with a retarded argument
- A parameter-uniform numerical method for time-dependent singularly perturbed differential-difference equations
- High order parameter-robust numerical method for time dependent singularly perturbed reaction-diffusion problems
- A parameter uniform difference scheme for singularly perturbed parabolic problem in one space dimension
- A uniformly convergent B-spline collocation method on a nonuniform mesh for singularly perturbed one-dimensional time-dependent linear convection-diffusion problem
- Upwind and midpoint upwind difference methods for time-dependent differential difference equations with layer behavior
- The effect of a random initial value in neural first-passage-time models
- A parameter uniform difference scheme for singularly perturbed parabolic delay differential equation with Robin type boundary condition
- A uniformly convergent scheme on a nonuniform mesh for convection-diffusion parabolic problems
- An analysis of Stein's model for stochastic neuronal excitation
- A robust numerical scheme for singularly perturbed delay parabolic initial-boundary-value problems on equidistributed grids
- Numerical treatment for the class of time dependent singularly perturbed parabolic problems with general shift arguments
- \(\varepsilon \)-uniform numerical technique for the class of time dependent singularly perturbed parabolic problems with state dependent retarded argument arising from generalised Stein's model of neuronal variability
- A parameter robust second order numerical method for a singularly perturbed two-parameter problem
- Convergence of Three-Step Taylor Galerkin Finite Element Scheme Based Monotone Schwarz Iterative Method for Singularly Perturbed Differential-Difference Equation
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations. V. Small Shifts with Layer Behavior
- Parameter-Robust Numerical Scheme for Time-Dependent Singularly Perturbed Reaction–Diffusion Problem with Large Delay
This page was built for publication: A high order robust numerical scheme for the generalized Stein's model of neuronal variability
