Uniform convergence method for a delay differential problem with layer behaviour

E Cimen, GM Amiraliyev - Mediterranean Journal of Mathematics, 2019 - Springer
Difference method on a piecewise uniform mesh of Shishkin type, for a singularly perturbed
boundary-value problem for a linear second-order delay differential equation is examined. It …

Numerical solution of a boundary value problem including both delay and boundary layer

E Cimen - Mathematical Modelling and Analysis, 2018 - journals.vilniustech.lt
Difference method on a piecewise uniform mesh of Shishkin type, for a singularly perturbed
boundary-value problem for a nonlinear second order delay differential equation is …

[PDF][PDF] Convergence analysis of finite difference method for singularly perturbed nonlocal differential-difference problem

E Cimen, M Cakir - Miskolc Mathematical Notes, 2018 - real.mtak.hu
This study is concerned with a singularly perturbed three-point boundary-value problem with
delay. Firstly, bounds on the solution and its derivative of the solution to be used later in the …

An Effective Numerical Method for Singularly Perturbed Nonlocal Boundary Value Problem on Bakhvalov Mesh.

D Arslan - Journal of Informatics & Mathematical Sciences, 2019 - search.ebscohost.com
The present study focuses on obtaining an absolutely accurate computational solution of a
linear singularly perturbed problem with integral boundary condition on Bakhvalov mesh. A …

A novel numerical approach for solving convection-diffusion problem with boundary layer behavior

D Arslan, M Çakır, Y Masiha - Gazi University Journal of Science, 2020 - dergipark.org.tr
This study deals with a new approach method for solving singularly perturbed boundary
value problem of convection-diffusion type. Firstly, bounds on the solution and its derivative …

Stability and convergence analysis on Shishkin mesh for a nonlinear singularly perturbed problem with three-point boundary condition

D Arslan - Quaestiones Mathematicae, 2020 - Taylor & Francis
The present study is conducted on finite difference method in Shishkin piecewise uniform
mesh in a singularly perturbed boundary value problem for a nonlinear differential equation …

[PDF][PDF] Quintic B-spline technique for numerical treatment of third order singular perturbed delay differential equation

MK Vaid, G Arora - International Journal of Mathematical …, 2019 - researchgate.net
In this paper, a class of third order singularly perturbed delay differential equation with large
delay is considered for numerical treatment. The considered equation has discontinuous …

Numerical Simulation of Singularly Perturbed Differential Equation with Large Delay Using Exponential B-Spline Collocation Method

G Arora, MK Vaid - Differential Equations in Engineering, 2021 - taylorfrancis.com
In the present work, a boundary value problem for one type of singularly perturbed
differential-difference equations (SPDDEs) is considered. To find an approximate solution …

A robust numerical scheme for singularly perturbed delay differential equations with turning point

KK Sharma, P Rai, P Mishra - International Journal for …, 2019 - Taylor & Francis
In this article, we propose a parameter uniform numerical method for singularly perturbed
delay differential equations with turning point. Using interpolation, a new algorithm is …

[PDF][PDF] Mandeep Kaur Vaid (Lovely Professional University, 0000-0002-3202-0300)

G Arora - researchgate.net
Delay differential equations are the differential equations of the main concern of researchers
for numerical simulation due to their expanded range of applications in biosciences, control …