THE PARAMETER-ROBUST NUMERICAL METHOD BASED ON DEFECT-CORRECTION TECHNIQUE FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH LAYER BEHAVIOR

DOI10.1142/S0219876210002374zbMath1270.65041MaRDI QIDQ2845360

Jugal Mohapatra, Srinivasan Natesan

Publication date: 30 August 2013

Published in: International Journal of Computational Methods (Search for Journal in Brave)

zbMATH Keywords

delaysingular perturbationsboundary layerdefect correctionShishkin mesh

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (8)

Uniformly convergent NIPG method for singularly perturbed convection diffusion problem on Shishkin type meshes ⋮ An Analysis of the Robust Convergent Method for a Singularly Perturbed Linear System of Reaction–Diffusion Type Having Nonsmooth Data ⋮ Collocation method using artificial viscosity for time dependent singularly perturbed differential-difference equations ⋮ An improved time accurate numerical estimation for singularly perturbed semilinear parabolic differential equations with small space shifts and a large time lag ⋮ A novel fitted method for a class of singularly perturbed differential-difference equations with small delay exhibiting twin layer or oscillatory behaviour ⋮ Unnamed Item ⋮ A novel approach for the numerical approximation to the solution of singularly perturbed differential-difference equations with small shifts ⋮ ε-Uniformly convergent numerical scheme for singularly perturbed delay parabolic partial differential equations

Cites Work

• Unnamed Item
• A defect-correction parameter-uniform numerical method for a singularly perturbed convec\-tion-diffusion problem in one dimension
• Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations
• 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
• The \(\varepsilon\)-uniform convergence of a defect correction method on a Shishkin mesh

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