[PDF][PDF] Finite difference method for nonlocal singularly perturbed problem

M Çakır, D Arslan - International Journal of Modern Research in …, 2016 - researchgate.net
In this study, nonlinear singularly perturbed problems with nonlocal condition are evaluated
by finite difference method. The exact solution 𝑢 (𝑥) has boundary layers at 𝑥= 0 and 𝑥= 1 …

A numerical solution study on singularly perturbed convection-diffusion nonlocal boundary problem

D Arslan, M Cakir - … Faculty of Sciences University of Ankara Series …, 2019 - dergipark.org.tr
This important numerical method is given for the numerical solution of singularly perturbed
convection-diffusion nonlocal boundary value problem. First, the behavior of the exact …

A new second-order difference approximation for nonlocal boundary value problem with boundary layers

D Arslan - Mathematical Modelling and Analysis, 2020 - journals.vilniustech.lt
The aim of this paper is to present finite difference method for numerical solution of
singularly perturbed linear differential equation with nonlocal boundary condition. Initially …

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] An approximate solution of linear singularly perturbed problem with nonlocal boundary condition

D Arslan - Journal of Mathematical Analysis, 2020 - ilirias.com
This study is about the finite difference method for the solution of the singularly perturbed
problem with the boundary layer and integral boundary condition. Firstly, we determine the …

[PDF][PDF] An effective approximation for singularly perturbed problem with multi-point boundary value

D Arslan - New Trends in Mathematical Sciences, 2021 - researchgate.net
This study deals with the singularly perturbed multi-point boundary value problem and an
effective numerical method. The method analysis singularly perturbed problem with multi …

A New Numerical Scheme for Singularly Perturbed Reaction-Diffusion Problems

Z Temel, M Çakır - Gazi University Journal of Science, 2023 - dergipark.org.tr
This study is related to a novel numerical technique for solving the singularly perturbed
reaction-diffusion boundary value problems. First, explicit boundaries for the solution of the …

On the generation for numerical solution of singularly perturbed problem with right boundary layer

D Arslan - Turkish Journal of Mathematics and Computer Science, 2020 - dergipark.org.tr
In this study, we propose an important numerical method for the numerical solution of
singularly perturbed convection-diffusion five points boundary value problem using …

[PDF][PDF] Journal of Science

Z TEMEL, M CAKIR - academia.edu
Journal of Science A New Numerical Scheme for Singularly Perturbed Reaction-Diffusion
Problems Page 1 *Corresponding author, e-mail: zelaltemel65@gmail.com Research Article GU …