[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 …

Numerical method for a singularly perturbed convection–diffusion problem with delay

GM Amiraliyev, E Cimen - Applied Mathematics and Computation, 2010 - Elsevier
This paper deals with the singularly perturbed boundary value problem for a linear second-
order delay differential equation. For the numerical solution of this problem, we use an …

Numerical solution of singularly perturbed Fredholm integro-differential equations by homogeneous second order difference method

ME Durmaz, M Cakir, I Amirali, GM Amiraliyev - Journal Of Computational …, 2022 - Elsevier
This work presents a computational approximate to solve singularly perturbed Fredholm
integro-differential equation with the reduced second type Fredholm equation. This problem …

A numerical study on the difference solution of singularly perturbed semilinear problem with integral boundary condition

M Cakir - Mathematical Modelling and Analysis, 2016 - Taylor & Francis
The present study is concerned with the numerical solution, using finite difference method
on a piecewise uniform mesh (Shishkin type mesh) for a singularly perturbed semilinear …

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 …

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 …

Numerical solution for third order singularly perturbed turning point problems with integral boundary condition

V Raja, N Geetha, R Mahendran… - Journal of Applied …, 2024 - Springer
In this paper, a third-order singularly perturbed differential equation with integral boundary
condition (IBC) is considered. The problem is reduced into system of differential equation …

[PDF][PDF] Uniform second-order difference method for a singularly perturbed three-point boundary value problem

M Cakır - Advances in Difference Equations, 2010 - Springer
We consider a singularly perturbed one-dimensional convection-diffusion three-point
boundary value problem with zeroth-order reduced equation. The monotone operator is …

A novel computational method for solving nonlinear Volterra integro-differential equation

M Cakir, B Gunes, H Duru - Kuwait Journal of Science, 2021 - journalskuwait.org
In this paper, we study quasilinear Volterra integro-differential equations (VIDEs). Asymptotic
estimates are made for the solution of VIDE. Finite difference scheme which is accomplished …

Numerical treatment of nonlocal boundary value problem with layer behaviour

E Cimen, M Cakir - Bulletin of the Belgian Mathematical Society …, 2017 - projecteuclid.org
This paper deals with the singularly perturbed nonlocal boundary value problem for a linear
first order differential equation. For the numerical solution of this problem, we use a fitted …