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 …

Two new optimal and uniform third-order schemes for singular perturbation problems with initial layers

K Selvakumar - Soft Computing, 2022 - Springer
This article presents two numerical methods of the order of three for singular perturbation
problems, with a small positive parameter using finite differences. It is a problem with an …

A Novel Uniform Numerical Approach to Solve a Singularly Perturbed Volterra Integro-Differential Equation

M Cakir, E Cimen - Computational Mathematics and Mathematical Physics, 2023 - Springer
In this paper, the initial value problem for the second order singularly perturbed Volterra
integro-differential equation is considered. To solve this problem, a finite difference scheme …

[PDF][PDF] On the computation of double integrals by using some connection between the wave equation and the system of ODE

VR Ibrahimov, GY Mehdiyeva… - The Second Edition of the …, 2020 - researchgate.net
As is known solving many scientific and engineering problems can be reduced to calculation
of definite integrals. Many famous and known authors studies this phenomenon very long …

[PDF][PDF] A posteriori mesh method for a system of singularly perturbed initial value problems

Z Cen, J Huang, A Xu - AIMS Mathematics, 2022 - aimspress.com
A system of singularly perturbed initial value problems with weak constrained conditions on
the coefficients is considered. First the system of second-order singularly perturbed …

An approximate method for a delay differential equation with layer behavior

S UNCU, E CIMEN - Publishing Director Cemil Tunç Publishing Editor …, 2020 - air.unimi.it
In this study, we consider the singularly perturbed initial-value problem for a class of second-
order delay differential equation. We construct a fitted difference scheme on a uniform mesh …