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 …

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 …

[PDF][PDF] A Uniform Discretization for Solving Singularly Perturbed Convection-Diffusion Boundary Value Problems

B Gunes, M Demirbas - Memoirs on Differential Equations and …, 2022 - rmi.tsu.ge
In this paper, a discrete scheme is presented for solving singularly perturbed
convectiondiffusion equations. The stability and convergence of the proposed scheme are …

A UNIFORMLY STABLE SOLVABILITY OF NLBVP FOR PARAMETERIZED ODE

D Dovletov - Proceedings of International Mathematical Sciences, 2021 - dergipark.org.tr
Nonlocal boundary value problem of the first kind for an odinary linear second order
differential equation with positive parameter at the highest derivative is considered. The …

A Novel Numerical Technique on Bakhvalov Type Mesh for Singularly Perturbed Problem with Integral Boundary Conditions

Z Temel, M Cakir - … on Applied Mathematics and Engineering (ISAME22 …, 2022 - ntmsci.com
In this paper, we deal with the singularly perturbed linear boundary value problem with two
integral boundary conditions. We propose a uniform convergence numerical method for …

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 …