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 finite difference method on layer-adapted mesh for singularly perturbed delay differential equations

F Erdogan, MG Sakar, O Saldır - Applied Mathematics and Nonlinear …, 2020 - sciendo.com
The purpose of this paper is to present a uniform finite difference method for numerical
solution of a initial value problem for semilinear second order singularly perturbed delay …

Anisotropy effect on the nonlinear optical properties of a three-dimensional quantum dot confined at the center of a cylindrical nano-wire

G Safarpour, MA Izadi, M Novzari, E Niknam… - Physica E: Low …, 2014 - Elsevier
The effect of geometrical anisotropy is numerically investigated on the linear and nonlinear
optical properties of a GaAs quantum dot which is located at the center of a Ga 1-x Al x As …

Numerical solution of a singularly perturbed Volterra integro-differential equation

S Şevgin - Advances in Difference Equations, 2014 - Springer
We study the convergence properties of a difference scheme for singularly perturbed
Volterra integro-differential equations on a graded mesh. We show that the scheme is first …

Laser radiation effect on the optical properties of a spherical quantum dot confined in a cylindrical nanowire

G Safarpour, A Zamani, MA Izadi, H Ganjipour - Journal of luminescence, 2014 - Elsevier
An investigation is done in order to calculate the linear, third-order nonlinear and total
optical absorption coefficient and refractive index changes of an impure GaAs spherical …

Asymptotic expansion of steady-state potential in a high contrast medium with a thin resistive layer

R Perrussel, C Poignard - Applied Mathematics and Computation, 2013 - Elsevier
We study the steady-state potential in a high contrast medium with a resistive thin layer. We
provide asymptotic expansions of the potential at any order, whatever small the layer …

A parameter uniform difference scheme for the parameterized singularly perturbed problem with integral boundary condition

M Kudu - Advances in Difference Equations, 2018 - Springer
We consider a uniform finite difference method on a Bakhvalov mesh to solve a quasilinear
first order parameterized singularly perturbed problem with integral boundary conditions …

Inspecting the impact of decisive factors on the second-and third-harmonic generation in cylindrical core/shell/shell quantum dot (CCSSQD) with hydrogenic impurity

K Hasanirokh, A Naifar - The European Physical Journal Plus, 2023 - Springer
The main objective of this research report is to explore the influence of additional tuning
factors (magnetic field, dielectric environment, well width, height and Rashba parameter) on …

Rashba and Dresselhaus spin-orbit interactions effects on electronic features of a two dimensional elliptic quantum dot

P Mokhtari, G Rezaei, A Zamani - Superlattices and Microstructures, 2017 - Elsevier
In this paper, electronic structure of a two dimensional elliptic quantum dot under the
influence of external electric and magnetic fields are studied in the presence of Rashba and …

Second and third harmonic generations of a quantum ring with Rashba and Dresselhaus spin-orbit couplings: Temperature and Zeeman effects

A Zamani, T Azargoshasb, E Niknam - Physica B: Condensed Matter, 2017 - Elsevier
In current article, the Zeeman effect is considered in the presence of simultaneous Rashba
and Dresselhaus spin-orbit interactions (SOI) and under such circumstances the second and …