Doç. Dr. MUHAMMET ENES DURMAZ

Yayın Ağı

Makaleler 18

1. A second-order numerical method to the third order neutral Volterra integro-differential equations

Amirali I., Dağ D., Durmaz M. E., Amiraliyev G. M.

Boundary Value Problems , cilt.2026, sa.1, 2026 (SCI-Expanded, Scopus)

2. Numerical solutions for second-order neutral volterra integro-differential equations: Stability analysis and finite difference method

Fedakar B., Amirali I., DURMAZ M. E., Amiraliyev G. M.

Journal of Computational and Applied Mathematics , cilt.459, 2025 (SCI-Expanded, Scopus)

3. Finite Difference Method for Advanced Volterra Integro-Differential Equation with Delay

Acar H., Amirali I., DURMAZ M. E., Amiraliyev G.

Computational Mathematics and Mathematical Physics , cilt.65, sa.4, ss.698-710, 2025 (SCI-Expanded, Scopus)

4. A Monotone Second-Order Numerical Method for Fredholm Integro-Differential Equation

Amirali I., Durmaz M. E., Amiraliyev G. M.

Mediterranean Journal of Mathematics , cilt.21, sa.7, 2024 (SCI-Expanded, Scopus)

5. Singüler Pertürbe Özellikli Fredholm İntegro Diferansiyel Denkleminin Katman Davranışının İncelenmesi

Durmaz M. E.

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi , cilt.14, sa.3, ss.1301-1309, 2024 (TRDizin)

6. A numerical technique for solving nonlinear singularly perturbed Fredholm integro-differential equations

Panda A., Mohapatra J., Amirali I., Durmaz M. E., Amiraliyev G. M.

Mathematics and Computers in Simulation , cilt.220, ss.618-629, 2024 (SCI-Expanded, Scopus)

7. A NUMERICAL APPROACH FOR SOLVING VOLTERRA DELAY INTEGRO-DIFFERENTIAL EQUATION

Amirali I., Durmaz M. E., Amiraliyev G. M.

Miskolc Mathematical Notes , cilt.25, sa.2, ss.553-561, 2024 (SCI-Expanded, Scopus)

8. A numerical approach for singularly perturbed reaction diffusion type Volterra-Fredholm integro-differential equations

Durmaz M. E.

Journal of Applied Mathematics and Computing , cilt.69, sa.5, ss.3601-3624, 2023 (SCI-Expanded, Scopus)

9. A second-order numerical approximation of a singularly perturbed nonlinear Fredholm integro-differential equation

Durmaz M. E., Amirali I., Mohapatra J., Amiraliyev G. M.

Applied Numerical Mathematics , cilt.191, ss.17-28, 2023 (SCI-Expanded, Scopus)

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

Durmaz M. E., Amirali I., Amiraliyev G. M.

Journal of Applied Mathematics and Computing , cilt.69, sa.1, ss.505-528, 2023 (SCI-Expanded, Scopus)

11. An efficient numerical method for a singularly perturbed Volterra-Fredholm integro-differential equation

Durmaz M. E., Yapman Ö., Kudu M., Amiraliyev G. M.

Hacettepe Journal of Mathematics and Statistics , cilt.52, sa.2, ss.326-339, 2023 (SCI-Expanded, Scopus)

12. Numerical solution of singularly perturbed Fredholm integro-differential equations by homogeneous second order difference method

Durmaz M. E., Çakır M., Amirali I., Amiraliyev G. M.

Journal of Computational and Applied Mathematics , cilt.412, 2022 (SCI-Expanded, Scopus)

13. Numerical solution of a singularly perturbed Fredholm integro differential equation with Robin boundary condition

Durmaz M. E., Amiraliyev G. M., Kudu M.

Turkish Journal of Mathematics , cilt.46, sa.1, ss.207-224, 2022 (SCI-Expanded, Scopus, TRDizin)

14. PARAMETER UNIFORM SECOND-ORDER NUMERICAL APPROXIMATION FOR THE INTEGRO-DIFFERENTIAL EQUATIONS INVOLVING BOUNDARY LAYERS

Durmaz M. E., Cakir M., Amirali G.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS , cilt.71, sa.4, ss.954-967, 2022 (TRDizin)

15. A Robust Numerical Method for a Singularly Perturbed Fredholm Integro-Differential Equation

Durmaz M. E., Amiraliyev G. M.

Mediterranean Journal of Mathematics , cilt.18, sa.1, 2021 (SCI-Expanded, Scopus)

16. A numerical method for a second order singularly perturbed fredholm integro-differential equation

Amiraliyev G. M., Durmaz M. E., Kudu M.

Miskolc Mathematical Notes , cilt.22, sa.1, ss.37-48, 2021 (SCI-Expanded, Scopus)

17. Fitted second order numerical method for a singularly perturbed Fredholm integro-differential equation

Amiraliyev G. M., Durmaz M. E., Kudu M.

Bulletin of the Belgian Mathematical Society - Simon Stevin , cilt.27, sa.1, ss.71-88, 2020 (SCI-Expanded, Scopus)

18. UNIFORM CONVERGENCE RESULTS FOR SINGULARLY PERTURBED FREDHOLM INTEGRO-DIFFERENTIAL EQUATION

Amiraliyev G., Durmaz M. E., Kudu M.

JOURNAL OF MATHEMATICAL ANALYSIS , cilt.9, sa.6, ss.55-64, 2018 (Hakemli Dergi)

Hakemli Bilimsel Toplantılarda Yayımlanmış Bildiriler 11

1. Method of The Exact Difference Schemes for The Integro-Differential Equations with Boundary Layers

DURMAZ M. E.

10th International IFS and Contemporary Mathematics Conference, Mersin, Türkiye, 4 - 07 Eylül 2024, ss.75, (Özet Bildiri)

2. First-order numerical method for the singularly perturbed nonlinear Fredholm integro-differential equation with integral boundary condition

Amirali I., Durmaz M. E., Acar H., Amiraliyev G.

2nd International Workshop on Mathematical Modeling and Scientific Computing: Focus on Complex Processes and Systems, MMSC 2022, Virtual, Online, 4 - 07 Ekim 2022, cilt.2514, (Tam Metin Bildiri)

3. A computational method for integro-differential equation with initial-layer

DURMAZ M. E.

4th International Congress on Applied Sciences, Engineering and Mathematics, Tekirdağ, Türkiye, 20 - 23 Ekim 2022, ss.12, (Özet Bildiri)

4. A new difference method for the singularly perturbed Fredholm integro-differential equation with Robin boundary condition on a Shishkin mesh

DURMAZ M. E., KUDU M., AMİRALİ G.

International Dumlupınar Science and Mathematics Congress, Kütahya, Türkiye, 5 - 07 Eylül 2022, ss.294-295, (Özet Bildiri)

5. Fitted difference method for singularly perturbed Fredholm integro-differential equation

DURMAZ M. E.

6th International Conference on Mathematics: An Istanbul Meeting for World Mathematicians, İstanbul, Türkiye, 21 - 24 Haziran 2022, ss.86, (Özet Bildiri)