A parameter uniform higher order scheme for 2D singularly perturbed parabolic convection-diffusion problem with turning point
type: Item
instance of: scholarly article
title: A parameter uniform higher order scheme for 2D singularly perturbed parabolic convection-diffusion problem with turning point
author: Swati Yadav
author: Pratima Rai
published in: Mathematics and Computers in Simulation
publication date: 2022-12-07T00:00:00Z
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 76-XX
zbMATH DE Number: 7628006
zbMATH Keywords: two dimensional singularly perturbed problem
zbMATH Keywords: convection-diffusion type
zbMATH Keywords: turning point
zbMATH Keywords: hybrid scheme
zbMATH Keywords: Bakhvalov-Shishkin mesh
MaRDI profile type: Publication
full work available at URL: j.matcom.2022.10.011
OpenAlex ID: W4306958630
cites work: A Priori Estimates and Analysis of a Numerical Method for a Turning Point Problem
cites work: On Rational Approximations of Semigroups
cites work: HODIE finite difference schemes on generalized Shishkin meshes.
cites work: A uniformly convergent alternating direction HODIE finite difference scheme for 2D time-dependent convection-diffusion problems
cites work: Another uniform convergence analysis technique of some numerical methods for parabolic singularly perturbed problems
cites work: A fractional step method for 2D parabolic convection-diffusion singularly perturbed problems: uniform convergence and order reduction
cites work: A fractional step method on a special mesh for the resolution of multidimensional evolutionary convection-diffusion problems
cites work: Numerical approximation of 2D time dependent singularly perturbed convection-diffusion problems with attractive or repulsive turning points
cites work: Higher-order convergence with fractional-step method for singularly perturbed 2D parabolic convection-diffusion problems on Shishkin mesh
cites work: Q4485828
cites work: A robust layer adapted difference method for singularly perturbed two-parameter parabolic problems
cites work: Q5562267
cites work: An upwind difference scheme on a novel Shishkin-type mesh for a linear convection-diffusion problem
cites work: Alternating direction numerical scheme for singularly perturbed 2D degenerate parabolic convection-diffusion problems
cites work: Anϵ-uniform hybrid numerical scheme for a singularly perturbed degenerate parabolic convection–diffusion problem
cites work: Fitted numerical methods for singular perturbation problems. Error estimates in the maximum norm for linear problems in one and two dimensions.
cites work: Optimal error estimate of upwind scheme on Shishkin-type meshes for singularly perturbed parabolic problems with discontinuous convection coefficients
cites work: Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection-diffusion problems
cites work: Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers.
cites work: Q5533735
cites work: Robust Numerical Methods for Singularly Perturbed Differential Equations
cites work: A higher order numerical scheme for singularly perturbed parabolic turning point problems exhibiting twin boundary layers
cites work: Uniformly convergent hybrid schemes for solutions and derivatives in quasilinear singularly perturbed BVPs
DOI: 10.1016/J.MATCOM.2022.10.011
description: scientific article; zbMATH DE number 7628006