A novel approach for the numerical approximation to the solution of singularly perturbed differential-difference equations with small shifts
DOI10.1007/s12190-020-01397-6zbMath1475.65057OpenAlexW3044147556MaRDI QIDQ2053151
Rakesh Ranjan, Hari Shankar Prasad
Publication date: 29 November 2021
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-020-01397-6
finite difference methodboundary layersingular perturbation problemstability and convergencedifferential-difference equation
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
Related Items (6)
Cites Work
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- Solution of singularly perturbed differential-difference equations with mixed shifts using Galerkin method with exponential fitting
- Numerical treatment of a mathematical model arising from a model of neuronal variability
- Delay differential equations: with applications in population dynamics
- Differential-difference equations
- Solving linear second-order singularly perturbed differential difference equations via initial value method
- Exponential methods for singularly perturbed ordinary differential-difference equations
- \(\epsilon\) -uniformly convergent fitted methods for the numerical solution of the problems arising from singularly perturbed general ddes
- Numerical integration of a class of singular perturbation problems
- On the numerical integration of a class of singular perturbation problems
- Asymptotic and numerical analysis of singular perturbation problems: A survey
- Perturbation methods in applied mathematics
- Ordinary and delay differential equations
- A delay differential equation model for tumor growth
- Numerical analysis of boundary-value problems for singularly-perturbed differential-difference equations with small shifts of mixed type
- A computational method for singularly perturbed nonlinear differential-difference equations with small shift
- \(\epsilon\)-uniformly convergent nonstandard finite difference methods for singularly perturbed differential difference equations with small delay
- THE PARAMETER-ROBUST NUMERICAL METHOD BASED ON DEFECT-CORRECTION TECHNIQUE FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH LAYER BEHAVIOR
- Fitted Numerical Methods For Singular Perturbation Problems
- Delay 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
- 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 ϵ-uniform fitted operator method for solving boundary-value problems for singularly perturbed delay differential equations: Layer behavior
- Oscillation and Chaos in Physiological Control Systems
- Accurate Numerical Method for Singularly Perturbed Differential-Difference Equations with Mixed Shifts
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