A brief survey on numerical methods for solving singularly perturbed problems

MK Kadalbajoo, V Gupta - Applied mathematics and computation, 2010 - Elsevier
In the present paper, a brief survey on computational techniques for the different classes of
singularly perturbed problems is given. This survey is a continuation of work performed …

A parameter-uniform higher order finite difference scheme for singularly perturbed time-dependent parabolic problem with two small parameters

V Gupta, MK Kadalbajoo, RK Dubey - International Journal of …, 2019 - Taylor & Francis
In the present paper, a parameter-uniform numerical method is constructed and analysed for
solving one-dimensional singularly perturbed parabolic problems with two small …

A parameter-uniform numerical scheme for the parabolic singularly perturbed initial boundary value problems with large time delay

D Kumar, P Kumari - Journal of Applied Mathematics and Computing, 2019 - Springer
A numerical scheme for a class of singularly perturbed parabolic partial differential equation
with the time delay on a rectangular domain in the x–t plane is constructed. The presence of …

Numerical solutions of singularly perturbed one-dimensional parabolic convection–diffusion problems by the Bessel collocation method

Ş Yüzbaşı, N Şahin - Applied Mathematics and Computation, 2013 - Elsevier
In this paper, we present a numerical scheme for the approximate solutions of the one-
dimensional parabolic convection–diffusion model problems. This method is based on the …

[HTML][HTML] A uniformly convergent B-spline collocation method on a nonuniform mesh for singularly perturbed one-dimensional time-dependent linear convection …

MK Kadalbajoo, V Gupta, A Awasthi - Journal of Computational and …, 2008 - Elsevier
A numerical method is proposed for solving singularly perturbed one-dimensional parabolic
convection–diffusion problems. The method comprises a standard implicit finite difference …

A fitted operator finite difference method of lines for singularly perturbed parabolic convection–diffusion problems

NA Mbroh, JB Munyakazi - Mathematics and Computers in Simulation, 2019 - Elsevier
We propose a uniformly convergent finite difference method to solve singularly perturbed
time-dependent convection–diffusion problems in the framework of method of lines. The …

Accelerated nonstandard finite difference method for singularly perturbed Burger-Huxley equations

MJ Kabeto, GF Duressa - BMC Research Notes, 2021 - Springer
Objective The main purpose of this paper is to present an accelerated nonstandard finite
difference method for solving the singularly perturbed Burger-Huxley equation in order to …

A tension spline fitted numerical scheme for singularly perturbed reaction-diffusion problem with negative shift

AH Ejere, TG Dinka, MM Woldaregay, GF Duressa - BMC Research Notes, 2023 - Springer
Objective The paper is focused on developing and analyzing a uniformly convergent
numerical scheme for a singularly perturbed reaction-diffusion problem with a negative shift …

Numerical study of time delay singularly perturbed parabolic differential equations involving both small positive and negative space shifts

SR Sahu, J Mohapatra - Journal of Applied Analysis, 2022 - degruyter.com
A time dependent singularly perturbed differential-difference equation is considered. The
problem involves time delay and general small space shift terms. Taylor series …

A high order robust numerical scheme for the generalized Stein's model of neuronal variability

K Bansal, KK Sharma - Journal of Difference Equations and …, 2021 - Taylor & Francis
This paper continues the authors's study of robust numerical scheme for generalized Stein's
model of neuronal variability, which is a singularly perturbed parabolic partial differential …