Numerical study of time delay singularly perturbed parabolic differential equations involving both small positive and negative space shifts
DOI10.1515/JAA-2021-2064OpenAlexW3209908327WikidataQ115236150 ScholiaQ115236150MaRDI QIDQ2671537
Publication date: 3 June 2022
Published in: Journal of Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jaa-2021-2064
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) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11) Numerical analysis (65-XX)
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Cites Work
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- Parameter uniform numerical scheme for time dependent singularly perturbed convection-diffusion-reaction problems with general shift arguments
- A simpler analysis of a hybrid numerical method for time-dependent convection-diffusion problems
- A parameter-uniform numerical method for time-dependent singularly perturbed differential-difference equations
- Richardson extrapolation technique for singularly perturbed parabolic convection--diffusion problems
- Delay differential equations: with applications in population dynamics
- A parameter uniform difference scheme for singularly perturbed parabolic problem in one space dimension
- Upwind and midpoint upwind difference methods for time-dependent differential difference equations with layer behavior
- Layer-adapted meshes for reaction-convection-diffusion problems
- Combined iterative methods for numerical solutions of parabolic problems with time delays
- New approximation algorithms for a class of partial differential equations displaying boundary layer behavior
- Mathematical analysis of delay differential equation models of HIV-1 infection
- A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations
- Numerical treatment for the class of time dependent singularly perturbed parabolic problems with general shift arguments
- High-order numerical methods for one-dimensional parabolic singularly perturbed problems with regular layers
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference 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
- ε-Uniformly convergent numerical scheme for singularly perturbed delay parabolic partial differential equations
- A parameter-uniform higher order finite difference scheme for singularly perturbed time-dependent parabolic problem with two small parameters
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