scientific article; zbMATH DE number 7430764
From MaRDI portal
Publication:5860499
zbMath1474.65321MaRDI QIDQ5860499
Mesfin Mekuria Woldaregay, Gemechis File Duressa
Publication date: 19 November 2021
Full work available at URL: https://ojs.ictp.it/jnms/index.php/jnms/article/view/474
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
singular perturbationboundary layerdifferential difference equationmethod of linenon-standard finite difference
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for functional equations (65Q20)
Related Items (16)
A second-order difference scheme for the singularly perturbed Sobolev problems with third type boundary conditions on Bakhvalov mesh ⋮ Collocation method using artificial viscosity for time dependent singularly perturbed differential-difference equations ⋮ Accelerated fitted operator finite difference method for singularly perturbed delay differential equations with non-local boundary condition ⋮ Numerical treatment on parabolic singularly perturbed differential difference equation via fitted operator scheme ⋮ Correction Statement ⋮ The stability and convergence analysis for singularly perturbed Sobolev problems with Robin type boundary condition ⋮ Uniformly convergent finite difference methods for singularly perturbed parabolic partial differential equations with mixed shifts ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability ⋮ Unnamed Item ⋮ Fitted Numerical Scheme for Singularly Perturbed Differential Equations Having Two Small Delays ⋮ Exponentially fitted numerical method for singularly perturbed differential-difference equations ⋮ Higher-order uniformly convergent numerical scheme for singularly perturbed differential difference equations with mixed small shifts ⋮ Unnamed Item ⋮ Fitted Numerical Scheme for Solving Singularly Perturbed Parabolic Delay Partial Differential Equations
Uses Software
Cites Work
- Unnamed Item
- 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
- Delay differential equations: with applications in population dynamics
- The exponential asymptotic stability of singularly perturbed delay differential equations with a bounded lag
- Convergence of method of lines approximations to partial differential equations
- Upwind and midpoint upwind difference methods for time-dependent differential difference equations with layer behavior
- Convergence results for the MATLAB ode23 routine
- Asymptotic analysis and solution of a finite-horizon \(H_{\infty}\) control problem for singularly-perturbed linear systems with small state delay
- Numerical treatment for the class of time dependent singularly perturbed parabolic problems with general shift arguments
- Second-order linear parabolic equations with a small parameter
- The MATLAB ODE Suite
- 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 III. Turning Point Problems
- Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
- Introduction to Theoretical Neurobiology
- Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations. V. Small Shifts with Layer Behavior
- Stability of Runge–Kutta Methods for Stiff Ordinary Differential Equations
- Higher order numerical approximation for time dependent singularly perturbed differential‐difference convection‐diffusion equations
- Parameter-Robust Numerical Scheme for Time-Dependent Singularly Perturbed Reaction–Diffusion Problem with Large Delay
- Numerical Methods for Delay Differential Equations
- Numerical Solution of Ordinary Differential Equations
- Advances in the Applications of Nonstandard Finite Difference Schemes
This page was built for publication: