An O$$(N^{-1}lnN)^4$$ Parameter Uniform Difference Method for Singularly Perturbed Differential-Difference Equations

DOI10.1007/978-81-322-2485-3_24zbMath1337.65059OpenAlexW2396386304MaRDI QIDQ2801918

Kapil K. Sharma, Komal Bansal

Publication date: 22 April 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-81-322-2485-3_24

zbMATH Keywords

numerical examplesingular perturbationdifferential-difference equationsNumerov methodparameter uniform error estimatepiecewise uniform fitted mesh

Mathematics Subject Classification ID

Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) 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 (3)

A second order stabilized central difference method for singularly perturbed differential equations with a large negative shift ⋮ A novel method for singularly perturbed delay differential equations of reaction-diffusion type ⋮ Parameter-Robust Numerical Scheme for Time-Dependent Singularly Perturbed Reaction–Diffusion Problem with Large Delay

Cites Work

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• Uniformly convergent non-standard finite difference methods for singularly perturbed differential-difference equations with delay and advance
• 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

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