[PDF][PDF] Singular perturbations and time scales in control theories and applications: An overview 2002–2012

Y Zhang, DS Naidu, C Cai, Y Zou - Int. J. Inf. Syst. Sci, 2014 - d.umn.edu
This paper presents an overview of singular perturbations and time scales (SPaTS) in
control theory and applications during the period 2002-2012. The previous …

Parameter uniform higher order numerical treatment for singularly perturbed Robin type parabolic reaction diffusion multiple scale problems with large delay in time

S Saini, P Das, S Kumar - Applied Numerical Mathematics, 2024 - Elsevier
In this paper, we address a class of boundary layer originated singularly perturbed parabolic
reaction-diffusion problems with Robin boundary conditions having large time delay; for the …

A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction–diffusion …

D Shakti, J Mohapatra, P Das, J Vigo-Aguiar - Journal of Computational …, 2022 - Elsevier
In this paper, a system of time dependent boundary layer originated reaction dominated
problems with diffusion parameters of different magnitudes, is considered for numerical …

A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and source terms

M Chandru, T Prabha, P Das, V Shanthi - Differential Equations and …, 2019 - Springer
In this article, a parameter uniform numerical method is developed for a two-parameter
singularly perturbed parabolic partial differential equation with discontinuous convection …

Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction–diffusion boundary-value problems

P Das, S Natesan - Applied mathematics and computation, 2014 - Elsevier
In this article, we study the problem of determining an appropriate grading of meshes for a
system of coupled singularly perturbed reaction–diffusion problems having diffusion …

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 …

[HTML][HTML] Hybrid method for singularly perturbed Robin type parabolic convection–diffusion problems on Shishkin mesh

FW Gelu, GF Duressa - Partial Differential Equations in Applied …, 2023 - Elsevier
This work presents a numerical solution to singularly perturbed Robin-type parabolic
convection–diffusion problems. A hybrid method that combines the central difference …

Fitted computational method for solving singularly perturbed small time lag problem

SK Tesfaye, MM Woldaregay, TG Dinka… - BMC Research …, 2022 - Springer
Objectives An accurate exponentially fitted numerical method is developed to solve the
singularly perturbed time lag problem. The solution to the problem exhibits a boundary layer …

A uniformly convergent hybrid scheme for singularly perturbed system of reaction-diffusion Robin type boundary-value problems

P Das, S Natesan - Journal of Applied Mathematics and Computing, 2013 - Springer
This paper deals with the study on system of reaction diffusion differential equations for
Robin or mixed type boundary value problems (MBVPs). A cubic spline approximation has …

[PDF][PDF] Richardson extrapolation method for singularly perturbed convection-diffusion problems on adaptively generated mesh

P Das, S Natesan - CMES Comput. Model. Eng. Sci, 2013 - cdn.techscience.cn
Adaptive mesh generation has become a valuable tool for the improvements of accuracy
and efficiency of numerical solutions over fixed number of meshes. This paper gives an …