Parameter-uniform numerical treatment of singularly perturbed initial-boundary value problems with large delay
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Publication:1986170
DOI10.1016/j.apnum.2020.02.021zbMath1436.35028OpenAlexW3010433852MaRDI QIDQ1986170
Publication date: 7 April 2020
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2020.02.021
Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
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Cites Work
- Unnamed Item
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- A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction-diffusion problems
- Asymptotic initial value technique for singularly perturbed convection-diffusion delay problems with boundary and weak interior layers
- Upwind and midpoint upwind difference methods for time-dependent differential difference equations with layer behavior
- On the uniform convergence of a finite difference scheme for time dependent singularly perturbed reaction-diffusion problems
- Numerical method for a singularly perturbed convection-diffusion problem with delay
- A uniform numerical method for dealing with a singularly perturbed delay initial value problem
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- Numerical methods on Shishkin mesh for singularly perturbed delay differential equations with a grid adaptation strategy
- Numerical treatment for the class of time dependent singularly perturbed parabolic problems with general shift arguments
- Robust approximation of singularly perturbed delay differential equations by the \(hp\) finite element method
- A numerical method based on finite difference for boundary value problems for singularly perturbed delay differential equations
- Fitted Mesh Method for a Class of Singularly Perturbed Differential-Difference Equations
- 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 Quations II. Rapid Oscillations and Resonances
- Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations III. Turning Point Problems
- Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations. V. Small Shifts with Layer Behavior
- Singular Perturbation Analysis of Boundary-Value Problems for Differential-Difference Equations. VI. Small Shifts with Rapid Oscillations
- An implicit scheme for singularly perturbed parabolic problem with retarded terms arising in computational neuroscience
- Parameter-Robust Numerical Scheme for Time-Dependent Singularly Perturbed Reaction–Diffusion Problem with Large Delay
- A collocation method for singularly perturbed differential-difference turning point problems exhibiting boundary/interior layers
- A Biometrics Invited Paper. Stochastic Models for Single Neuron Firing Trains: A Survey
- A parameter uniform method for singularly perturbed differential-difference equations with small shifts
- A Parameter-Uniform Numerical Method for a Boundary Value Problem for a Singularly Perturbed Delay Differential Equation
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