An ϵ-uniform fitted operator method for solving boundary-value problems for singularly perturbed delay differential equations: Layer behavior

DOI10.1080/0020716031000103394zbMath1045.65063OpenAlexW2165071737MaRDI QIDQ4462118

Kapil K. Sharma, Mohan K. Kadalbajoo

Publication date: 18 May 2004

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020716031000103394

zbMATH Keywords

singular perturbationfinite difference methoddelaynumerical experimentserror estimateboundary layer\(\varepsilon\)-uniform fitted operator method

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Boundary value problems for functional-differential equations (34K10) Finite difference and finite volume methods for ordinary differential equations (65L12) Singular perturbations of functional-differential equations (34K26)

Related Items (8)

A numerical approach for solving singularly perturbed convection delay problems via exponentially fitted spline method ⋮ A novel fitted method for a class of singularly perturbed differential-difference equations with small delay exhibiting twin layer or oscillatory behaviour ⋮ The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts ⋮ Analysis of a higher order uniformly convergent method for singularly perturbed parabolic delay problems ⋮ Parameter-Robust Numerical Scheme for Time-Dependent Singularly Perturbed Reaction–Diffusion Problem with Large Delay ⋮ Exponential collocation method for solutions of singularly perturbed delay differential equations ⋮ Numerical treatment for singularly perturbed nonlinear differential difference equations with negative shift ⋮ 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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• 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
• RELAXATION METHODS APPLIED TO DETERMINE THE MOTION, IN TWO DIMENSIONS, OF A VISCOUS FLUID PAST A FIXED CYLINDER

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