A higher order uniformly convergent method for singularly perturbed parabolic turning point problems

DOI10.1002/num.22431OpenAlexW2980664341WikidataQ127017059 ScholiaQ127017059MaRDI QIDQ6071652

Pratima Rai, Kapil K. Sharma, Swati Yadav

Publication date: 28 November 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22431

zbMATH Keywords

singular perturbationboundary layerturning pointRichardson extrapolationparabolic problempiecewise-uniform Shishkin mesh

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

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Cites Work

• Parameter-uniform numerical methods for some linear and nonlinear singularly perturbed convection diffusion boundary turning point problems
• Uniformly convergent difference schemes for singularly perturbed parabolic diffusion-convection problems without turning points
• Grid approximations to singularly perturbed parabolic equations with turning points
• A layer adaptive B-spline collocation method for singularly perturbed one-dimensional parabolic problem with a boundary turning point
• Continuous and Numerical Analysis of a Multiple Boundary Turning Point Problem
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• A Fitted Mesh Method for a Class of Singularly Perturbed Parabolic Problems with a Boundary Turning Point
• Anϵ-uniform hybrid numerical scheme for a singularly perturbed degenerate parabolic convection–diffusion problem
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