A new numerical approach for a singularly perturbed problem with two integral boundary conditions

M Cakir, D Arslan - Computational and Applied mathematics, 2021 - Springer
In this study, finite difference method on a Shishkin mesh is applied to solve the singularly
perturbed problem with integral boundary conditions. Some properties of the exact solution …

An approximate solution of singularly perturbed problem on uniform mesh

D Arslan, E Çelik - An International Journal of Optimization and Control …, 2024 - ijocta.org
In this study, we obtain approximate solution for singularly perturbed problem of differential
equation having two integral boundary conditions. With this purpose, we propose a new …

Numerical Simulation for Singularly Perturbed Problem with Two Nonlocal Boundary Conditions

D Arslan, M Çakır - Turkish Journal of Mathematics and Computer …, 2022 - dergipark.org.tr
In this paper, numerical solution for singularly perturbed problem with nonlocal boundary
conditions is obtained. Finite difference method is used to discretize this problem on 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] Numerical Analysis of Singularly Perturbed Problems with Integral Boundary Conditions

D Arslan, Ö Akın - Nurettin DOĞAN - theicmme.org
In this research, exponential difference scheme is investigated to solve the singular
perturbation problem with integral boundary condition. Some properties of the exact solution …