Fitted mesh method for singularly perturbed parabolic problems with an interior layer
type: Item
instance of: scholarly article
title: Fitted mesh method for singularly perturbed parabolic problems with an interior layer
author: Tesfaye Aga Bullo
author: Guy A. Degla
author: Gemechis File Duressa
published in: Mathematics and Computers in Simulation
publication date: 2021-12-13T00:00:00Z
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 76-XX
zbMATH DE Number: 7442881
zbMATH Keywords: parabolic problems with an interior layer
zbMATH Keywords: fitted mesh
zbMATH Keywords: uniformly convergent
MaRDI profile type: Publication
full work available at URL: j.matcom.2021.10.029
OpenAlex ID: W3213064221
cites work: Accelerated fitted operator finite difference method for singularly perturbed parabolic reaction-diffusion problems
cites work: Numerical treatment of two‐parameter singularly perturbed parabolic convection diffusion problems with non‐smooth data
cites work: A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and source terms
cites work: A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction-diffusion parabolic problems
cites work: Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems
cites work: A higher order difference method for singularly perturbed parabolic partial differential equations
cites work: An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh
cites work: Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters
cites work: A uniformly convergent hybrid scheme for singularly perturbed system of reaction-diffusion Robin type boundary-value problems
cites work: Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction-diffusion boundary-value problems
cites work: Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis
cites work: A perturbation-based approach for solving fractional-order Volterra–Fredholm integro differential equations and its convergence analysis
cites work: Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature
cites work: Parameter uniform optimal order numerical approximation of a class of singularly perturbed system of reaction diffusion problems involving a small perturbation parameter
cites work: Robust numerical scheme for singularly perturbed convection-diffusion parabolic initial-boundary-value problems on equidistributed grids
cites work: Q4920587
cites work: Q5247217
cites work: A parameter-uniform higher order finite difference scheme for singularly perturbed time-dependent parabolic problem with two small parameters
cites work: A robust layer adapted difference method for singularly perturbed two-parameter parabolic problems
cites work: A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems
cites work: A robust fitted numerical method for singularly perturbed turning point problems whose solution exhibits an interior layer
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: A fitted numerical method for singularly perturbed parabolic reaction-diffusion problems
cites work: A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer
cites work: An iterative technique for solving singularly perturbed parabolic PDE
cites work: Robust Numerical Methods for Singularly Perturbed Differential Equations
DOI: 10.1016/J.MATCOM.2021.10.029
description: scientific article; zbMATH DE number 7442881