A uniform numerical method for solving singularly perturbed Fredholm integro-differential problem

E Cimen, M Cakir - Computational and Applied Mathematics, 2021 - Springer
In this paper, we deal with a class of boundary-value problems for the singularly perturbed
Fredholm integro-differential equation. To solve the problem, we construct a new difference …

A numerical approach for solving nonlinear Fredholm integro-differential equation with boundary layer

M Cakir, Y Ekinci, E Cimen - Computational and Applied Mathematics, 2022 - Springer
The study deals with an initial-value problem for a singularly perturbed nonlinear Fredholm
integro-differential equation. Parameter explicit theoretical bounds on the continuous …

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 …

A second order numerical method for singularly perturbed problem with non-local boundary condition

M Cakir, GM Amiraliyev - Journal of Applied Mathematics and Computing, 2021 - Springer
The aim of this paper is to present a monotone numerical method on uniform mesh for
solving singularly perturbed three-point reaction–diffusion boundary value problems. Firstly …

Robust numerical method for singularly perturbed convection-diffusion type problems with non-local boundary condition

HG Debela, MM Woldaregay, GF Duressa - Mathematical Modelling and …, 2022 - jest.vgtu.lt
This paper presents the study of singularly perturbed differential equations of convection
diffusion type with non-local boundary condition. The proposed numerical scheme is a …

A Fitted Approximate Method for Solving Singularly Perturbed Volterra–Fredholm Integrodifferential Equations with Integral Boundary Condition

B Gunes, M Cakir - Ukrainian Mathematical Journal, 2024 - Springer
We consider a novel numerical approach for solving boundary-value problems for the
second-order Volterra-Fredholm integrodifferential equation with layer behavior and an …

The difference schemes for solving singularly perturbed three-point boundary value problem

M Cakir, E Cimen, GM Amiraliyev - Lithuanian Mathematical Journal, 2020 - Springer
In this paper, we propose and analyze numerical treatment for a singularly perturbed
convection–diffusion boundary value problem with nonlocal condition. First, the boundary …

Exponential Fitted Operator Method for Singularly Perturbed Convection‐Diffusion Type Problems with Nonlocal Boundary Condition

HG Debela - Abstract and Applied Analysis, 2021 - Wiley Online Library
This paper presents the study of singularly perturbed differential equations of convection‐
diffusion type with nonlocal boundary condition. The proposed numerical scheme is a …

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 Green's function-based computationally efficient approach for solving a kind of nonlocal BVPs.

J Singh, M Singh - Computational Methods for Differential …, 2025 - search.ebscohost.com
This study attempts to find approximate numerical solutions for a kind of second-order
nonlinear differential problem subject to some Dirichlet and mixed-type nonlocal (specifically …