A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems

DOI10.1080/00207160.2019.1597972zbMath1480.65224OpenAlexW2923623227WikidataQ128177219 ScholiaQ128177219MaRDI QIDQ5030530

Srinivasan Natesan, Maneesh Kumar Singh

Publication date: 17 February 2022

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

Full work available at URL: https://doi.org/10.1080/00207160.2019.1597972

zbMATH Keywords

uniform convergenceboundary layerssingularly perturbed systemhybrid finite difference schemepiecewise-uniform Shishkin meshparabolic convection-diffusion problems

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)

Related Items (5)

Efficient High-Order Discretization Methods for Coupled Systems of Singularly Perturbed Parabolic Convection-Diffusion Problems ⋮ Numerical analysis of a fully discrete stabilized FEM for system of singularly perturbed parabolic IBVPs ⋮ A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection-reaction-diffusion PDEs ⋮ Physics-informed neural networks with parameter asymptotic strategy for learning singularly perturbed convection-dominated problem ⋮ A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature

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