Exponential methods for singularly perturbed ordinary differential-difference equations
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Publication:858821
DOI10.1016/j.amc.2006.05.040zbMath1107.65067OpenAlexW2067976066MaRDI QIDQ858821
Publication date: 11 January 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.040
singular perturbationnumerical examplesdelay equationsexponential methodsadvection-reaction-diffusion operatorslinear second-order ordinary differential-difference equationsnon-standard finite difference techniquespiecewise linear methods
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The step-type contrast structure for a second order semi-linear singularly perturbed differential-difference equation ⋮ The impulsive solution for a semi-linear singularly perturbed differential-difference equation ⋮ A numerical approach for solving singularly perturbed convection delay problems via exponentially fitted spline method ⋮ An exponentially fitted spline method for second-order singularly perturbed delay differential equations ⋮ High-order uniformly convergent method for nonlinear singularly perturbed delay differential equations with small shifts ⋮ Unnamed Item ⋮ Asymptotic initial value technique for singularly perturbed convection-diffusion delay problems with boundary and weak interior layers ⋮ A uniform numerical method for dealing with a singularly perturbed delay initial value problem ⋮ Singularly Perturbed Convection-Diffusion Turning Point Problem with Shifts ⋮ A novel approach for the numerical approximation to the solution of singularly perturbed differential-difference equations with small shifts
Cites Work
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- State space approach to two-dimensional generalized thermo-viscoelasticity with two relaxation times
- On the numerical treatment of an ordinary differential equation arising in one-dimensional non-Fickian diffusion problems
- Numerical treatment for singularly perturbed nonlinear differential difference equations with negative shift
- Nonstandard finite difference equations for ODEs and 1-D PDEs based on piecewise linearization
- Singular perturbation methods for ordinary differential equations
- On diffusive methods and exponentially fitted techniques
- Hopf and resonant codimension two bifurcation in van der Pol equation with two time delays
- A smooth locally-analytical technique for singularly perturbed two-point boundary-value problems
- Fixed points, stability, and exact linearization
- An exponentially fitted method for singularly perturbed ordinary differential equations with turning points and parabolic problems
- Numerical analysis of singularly perturbed delay differential equations with layer behavior
- \(\epsilon\)-uniformly convergent nonstandard finite difference methods for singularly perturbed differential difference equations with small delay
- Exponentially-fitted methods on layer-adapted meshes
- Equivalence of \(C^0\) and \(C^1\) methods for ODE's
- 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
- Construction of a Finite-Difference Scheme that Exactly Conserves Energy for a Mixed Parity Oscillator
- Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations. V. Small Shifts with Layer Behavior
- ϵ-Uniform fitted mesh method for singularly perturbed differential-difference equations: Mixed type of shifts with layer behavior
- Singular Perturbation Analysis of Boundary Value Problems for Differential‐Difference Equations. IV. A Nonlinear Example with Layer Behavior
- Heat waves
- Formation and propagation of localized states in extended systems
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