Second-order uniformly convergent numerical method for singularly perturbed delay parabolic partial differential equations

DOI10.1080/00207160.2017.1290439zbMath1390.65063OpenAlexW2585001253MaRDI QIDQ4641565

Abhishek Das, Srinivasan Natesan

Publication date: 17 May 2018

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

Full work available at URL: https://doi.org/10.1080/00207160.2017.1290439

zbMATH Keywords

uniform convergenceupwind schemepiecewise-uniform Shishkin meshsingularly perturbed delay parabolic convection-diffusion problemsRichardson extrapolation technique

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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Cites Work

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• Richardson extrapolation technique for singularly perturbed parabolic convection--diffusion problems
• The midpoint upwind scheme
• Uniformly convergent hybrid numerical scheme for singularly perturbed delay parabolic convection-diffusion problems on shishkin mesh
• Richardson extrapolation for a convection--diffusion problem using a Shishkin mesh
• A robust numerical scheme for singularly perturbed delay parabolic initial-boundary-value problems on equidistributed grids
• A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations
• Richardson Extrapolation Method for Singularly Perturbed Coupled System of Convection-Diffusion Boundary-Value Problems
• Asymptotic Stability of a Time-Delayed Diffusion System

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