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 …

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 …

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 …

A New Error Evaluation for Singularly Perturbed Problem with Multi-Point Boundary Condition

D Arslan - Computational Methods for Differential Equations, 2020 - cmde.tabrizu.ac.ir
We consider finite difference method to find best approximation of nonlinear singularly
perturbed problem which contains multi-point boundary conditions. We surveyed the …

On the Uniform Convergence of the Finite Difference Scheme for Singularly Perturbed Problem with Integral Boundary Conditions

Z Temel, M Cakir - … and Engineering (ISAME22) January 21-23 …, 2022 - researchgate.net
In this paper, we consider a class of singularly perturbed non-linear differential equations of
convection diffusion type with integral boundary conditions. A finite difference scheme with …

Sayısal İntegral Metodu ile Singüler Pertürbe Multi-Point Sınır Değer Problemlerinin Sayısal Çözümü

D Arslan - Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 2020 - dergipark.org.tr
Bu çalışmada, sağ ya da sol sınır katlarına sahip singüler pertürbe multi-point sınır değer
probleminin çözümü için düzgün şebeke üzerinde sayısal integral metodu sunulur. Bu …

The difference scheme on Shishkin mesh for nonlinear singularly perturbed problem

D ARSLAN - on Mathematics and Mathematics Education … - icmme2019.selcuk.edu.tr
Singularly perturbed differential equations arise widespread in applications including
geophysical fluid dynamics, oceanic and atmospheric circulation, physical chemistry and …

A Numerical Method for Singularly Perturbed Nonlocal Boundary Value Problem on Bakhvalov Mesh

D Arslan - Book of Abstracts - acikerisim.bartin.edu.tr
This study deals with the singularly perturbed nonlocal boundary value problem and finite
difference method. The method analysis the appropriate singularly perturbed nonlocal …