A robust numerical method for a two-parameter singularly perturbed time delay parabolic problem

Sumit, S Kumar, Kuldeep, M Kumar - Computational and Applied …, 2020 - Springer
In this article, we consider a class of singularly perturbed two-parameter parabolic partial
differential equations with time delay on a rectangular domain. The solution bounds are …

[HTML][HTML] A uniformly convergent numerical scheme for two parameters singularly perturbed parabolic convection–diffusion problems with a large temporal lag

NT Negero - Results in Applied Mathematics, 2022 - Elsevier
In the present paper, an exponentially fitted numerical scheme is constructed and analyzed
for solving singularly perturbed two-parameter parabolic problems with large temporal lag …

Error analysis of a weak Galerkin finite element method for two-parameter singularly perturbed differential equations in the energy and balanced norms

Ş Toprakseven, P Zhu - Applied Mathematics and Computation, 2023 - Elsevier
A weak Galerkin finite element method is proposed for solving singularly perturbed
problems with two parameters. A robust uniform optimal convergence has been proved in …

Parameter uniform optimal order numerical approximations for time-delayed parabolic convection diffusion problems involving two small parameters

S Priyadarshana, J Mohapatra, SR Pattanaik - Computational and Applied …, 2022 - Springer
The purpose of this work is to provide robust numerical scheme for singularly perturbed time
delay (large) convection-reaction-diffusion problem with two small parameters. The work …

On the local discontinuous Galerkin method for singularly perturbed problem with two parameters

Y Cheng - Journal of Computational and Applied Mathematics, 2021 - Elsevier
The local discontinuous Galerkin method is studied for a singularly perturbed problem with
two parameters. We use a layer-adapted mesh in terms of mesh generating functions, which …

Optimal order of uniform convergence for finite element method on Bakhvalov-type meshes

J Zhang, X Liu - Journal of Scientific Computing, 2020 - Springer
We propose a new analysis of convergence for ak th order (k ≥ 1 k≥ 1) finite element
method, which is applied on Bakhvalov-type meshes to a singularly perturbed two-point …

[HTML][HTML] A higher-order uniformly convergent defect correction method for singularly perturbed convection-diffusion problems on an adaptive mesh

A Kaushik, M Choudhary - Alexandria Engineering Journal, 2022 - Elsevier
This paper presents a defect correction scheme based on finite-difference discretization for a
singularly perturbed convection-dominated diffusion problem. The solution of this class of …

A robust weak Galerkin finite element method for two parameter singularly perturbed parabolic problems on nonuniform meshes

J Singh, N Kumar, R Jiwari - Journal of Computational Science, 2024 - Elsevier
In this study, we proposed a weak Galerkin finite element method (WG-FEM) for solving two-
parameter singularly perturbed parabolic problems (TP-SPPPs) of convection–diffusion …

On graded meshes for a two-parameter singularly perturbed problem

M Brdar, H Zarin - Applied Mathematics and Computation, 2016 - Elsevier
A one-dimensional reaction–diffusion–convection problem is numerically solved by a finite
element method on two layer-adapted meshes, Duran-type mesh and Duran–Shishkin-type …

High-order finite element method on a Bakhvalov-type mesh for a singularly perturbed convection–diffusion problem with two parameters

J Zhang, Y Lv - Applied Mathematics and Computation, 2021 - Elsevier
We investigate in this article convergence for ak th (k≥ 2) order finite element method on a
Bakhvalov-type mesh for a two-parameter singularly perturbed two-point boundary value …