An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition

ME Durmaz, I Amirali, GM Amiraliyev - Journal of Applied Mathematics and …, 2023 - Springer
In this paper, a linear singularly perturbed Fredholm integro-differential initial value problem
with integral condition is being considered. On a Shishkin-type mesh, a fitted finite difference …

A parameter uniform difference scheme for the parameterized singularly perturbed problem with integral boundary condition

M Kudu - Advances in Difference Equations, 2018 - Springer
We consider a uniform finite difference method on a Bakhvalov mesh to solve a quasilinear
first order parameterized singularly perturbed problem with integral boundary conditions …

A robust adaptive grid method for a nonlinear singularly perturbed differential equation with integral boundary condition

LB Liu, G Long, Z Cen - Numerical Algorithms, 2020 - Springer
In this paper, the numerical solution of a nonlinear first-order singularly perturbed differential
equation with integral boundary condition is considered. The discrete method is generated …

Accelerated exponentially fitted operator method for singularly perturbed problems with integral boundary condition

HG Debela, GF Duressa - International Journal of Differential …, 2020 - Wiley Online Library
In this paper, we consider a class of singularly perturbed differential equations of convection
diffusion type with integral boundary condition. An accelerated uniformly convergent …

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 second-order adaptive grid method for a nonlinear singularly perturbed problem with an integral boundary condition

Z Cen, LB Liu, A Xu - Journal of Computational and Applied Mathematics, 2021 - Elsevier
In this paper, a nonlinear singularly perturbed problem with an integral boundary condition
is studied. A hybrid finite difference method based on the midpoint difference scheme and …

[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 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 …