Uniform hybrid difference scheme for singularly perturbed differential-difference turning point problems exhibiting boundary layers
DOI10.1155/2020/7045756zbMath1474.65195OpenAlexW3010748487MaRDI QIDQ2198051
Awoke Andargie Tiruneh, Wondwosen Gebeyaw Melesse, Getachew Adamu Derese
Publication date: 8 September 2020
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2020/7045756
Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Singular perturbations of functional-differential equations (34K26) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11) Numerical methods for functional-differential equations (65L03)
Related Items (1)
Cites Work
- Unnamed Item
- Numerical study of singularly perturbed differential-difference equation arising in the modeling of neuronal variability
- Numerical analysis of singularly perturbed delay differential turning point problem
- Richardson extrapolation for a singularly perturbed turning point problem with exponential boundary layers
- Collocation method using artificial viscosity for solving stiff singularly perturbed turning point problem having twin boundary layers
- Numerical treatment of a mathematical model arising from a model of neuronal variability
- Differential-difference equations
- \(\epsilon\) -uniformly convergent fitted methods for the numerical solution of the problems arising from singularly perturbed general ddes
- Ordinary and delay differential equations
- Asymptotic analysis and solution of a finite-horizon \(H_{\infty}\) control problem for singularly-perturbed linear systems with small state delay
- Hopf and resonant codimension two bifurcation in van der Pol equation with two time delays
- Numerical analysis of boundary-value problems for singularly-perturbed differential-difference equations with small shifts of mixed type
- \(\epsilon\)-uniformly convergent nonstandard finite difference methods for singularly perturbed differential difference equations with small delay
- Parameter uniform numerical method for singularly perturbed differential–difference equations with interior layers
- A Priori Estimates and Analysis of a Numerical Method for a Turning Point Problem
- Robust Numerical Methods for Singularly Perturbed Differential 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
- 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
- Oscillation and Chaos in Physiological Control Systems
- Fitted mesh numerical method for singularly perturbed delay differential turning point problems exhibiting boundary layers
- Heat waves
This page was built for publication: Uniform hybrid difference scheme for singularly perturbed differential-difference turning point problems exhibiting boundary layers
