Educational Background

2018 - 2020 Undergraduate
Anadolu Üniversitesi
Açıköğretim Fakültesi / Terapi ve Rehabilitasyon Bölümü / Engelli Bakımı ve Rehabilitasyon Pr. (Açıköğretim)

2017 - 2021 Doctorate
Erzincan Binali Yıldırım Üniversitesi
Fen Bilimleri Enstitüsü / Matematik (Dr)
Thesis: Birinci ve ikinci mertebeden singüler pertürbe özellikli integro-diferansiyel denklemler için düzgün nümerik metotlar

2013 - 2016 Master's Degree
Ağrı İbrahim Çeçen Üniversitesi
Fen Bilimleri Enstitüsü / Matematik (Yl) (Tezli) (Kafkas Üniv. Ortak)
Thesis: Hiperbolik tip denklem için bir optimal kontrol problemi

2012 - 2017 Undergraduate
Anadolu Üniversitesi
Açıköğretim Fakültesi / Hukuk Bölümü / Adalet Pr. (Açıköğretim)

2009 - 2013 Graduate
İnönü Üniversitesi
Fen-Edebiyat Fakültesi / Matematik Bölümü / Matematik Pr.

Academic Titles

2020 Öğretim Görevlisi
Kırklareli Üniversitesi / Rektörlük

Articles

1.
Survey Of The Layer Behaviour Of The Singularly Perturbed Fredholm Integro-Differential Equation
Durmaz Muhammet Enes
Journal Of The Institute Of Science And Technology (14)3, 1301 - 1309
Doi: 10.21597/jist.1483651
2024 Hakemli Ulusal TR DİZİN Özgün Makale

2.
A Numerical Technique For Solving Nonlinear Singularly Perturbed Fredholm İntegro-Differential Equations
Panda Abhılıpsa, Mohapatra Jugal, Amirali İlhame, Durmaz Muhammet Enes, Amirali Gabil
Mathematics And Computers İn Simulation (220), 618 - 629
Doi: 10.1016/j.matcom.2024.02.011
2024 Hakemli Uluslararası SCI-Expanded Özgün Makale

3.
An Efficient Numerical Method For A Singularly Perturbed Volterra-Fredholm İntegro-Differential Equation
Durmaz Muhammet Enes, Yapman Ömer, Kudu Mustafa, Amirali Gabil
Hacettepe Journal Of Mathematics And Statistics (52)2, 326 - 339
Doi: 10.15672/hujms.1050505
2023 Hakemli Uluslararası SCI-Expanded Özgün Makale

4.
An Efficient Numerical Method For A Singularly Perturbed Fredholm İntegro-Differential Equation With İntegral Boundary Condition
Durmaz Muhammet Enes, Amirali İlhame, Amirali Gabil
Journal Of Applied Mathematics And Computing (69), 505 - 528
Doi: 10.1007/s12190-022-01757-4
2023 Hakemli Uluslararası SCI-Expanded Özgün Makale

5.
A Second-Order Numerical Approximation Of A Singularly Perturbed Nonlinear Fredholm İntegro-Differential Equation
Durmaz Muhammet Enes, Amirali İlhame, Mohapatra Jugal, Amirali Gabil
Applied Numerical Mathematics (191), 17 - 28
Doi: 10.1016/j.apnum.2023.05.008
2023 Hakemli Uluslararası SCI-Expanded Özgün Makale

6.
A Numerical Approach For Singularly Perturbed Reaction Diffusion Type Volterra-Fredholm İntegro-Differential Equations
Durmaz Muhammet Enes
Journal Of Applied Mathematics And Computing (69), 3601 - 3624
Doi: 10.1007/s12190-023-01895-3
2023 Hakemli Uluslararası SCI-Expanded Özgün Makale

7.
Numerical Solution Of A Singularly Perturbed Fredholm İntegro Differential Equation With Robin Boundary Condition
Durmaz Muhammet Enes, Amirali Gabil, Kudu Mustafa
Turkish Journal Of Mathematics (46)1, 207 - 224
Doi: 10.3906/mat-2109-11
2022 Hakemli Uluslararası SCI-Expanded Özgün Makale

8.
Parameter Uniform Second-Order Numerical Approximation For The İntegro-Differential Equations İnvolving Boundary Layers
Durmaz Muhammet Enes, Çakır Musa, Amirali Gabil
Communications Faculty Of Sciences University Of Ankara Series A1 Mathematics And Statistics (71)4, 954 - 967
Doi: 10.31801/cfsuasmas.1072728
2022 Hakemli Uluslararası ESCI Özgün Makale

9.
Numerical Solution Of Singularly Perturbed Fredholm İntegro-Differential Equations By Homogeneous Second Order Difference Method
Durmaz Muhammet Enes, Çakır Musa, Amirali İlhame, Amirali Gabil
Journal Of Computational And Applied Mathematics (412)114327, -
Doi: 10.1016/j.cam.2022.114327
2022 Hakemli Uluslararası SCI-Expanded Özgün Makale

10.
A Numerical Method For A Second Order Singularly Perturbed Fredholm İntegro-Differential Equation
Amirali Gabil, Durmaz Muhammet Enes, Kudu Mustafa
Miskolc Mathematical Notes (22)1, 37 - 48
Doi: 10.18514/MMN.2021.2930
2021 Hakemli Uluslararası SCI-Expanded Özgün Makale

11.
A Robust Numerical Method For A Singularly Perturbed Fredholm İntegro-Differential Equation
Durmaz Muhammet Enes, Amirali Gabil
Mediterranean Journal Of Mathematics (18)24, 1 - 17
Doi: 10.1007/s00009-020-01693-2
2021 Hakemli Uluslararası SCI-Expanded Özgün Makale

12.
Fitted Second Order Numerical Method For A Singularly Perturbed Fredholm İntegro-Differential Equation
Amirali Gabil, Durmaz Muhammet Enes, Kudu Mustafa
Bulletin Of The Belgian Mathematical Society - Simon Stevin (27)1, 71 - 88
2020 Hakemli Uluslararası SCI-Expanded Özgün Makale

13.
Uniform Convergence Results For Singularly Perturbed Fredholm Integro-Differential Equation
Amirali Gabil, Durmaz Muhammet Enes, Kudu Mustafa
Journal Of Mathematical Analysis (9)6, 55 - 64
2018 Hakemli Uluslararası ESCI-Emerging Sources Citation Index Özgün Makale

1.
A Numerical Technique For Solving Nonlinear Singularly Perturbed Fredholm İntegro-Differential Equations
Panda Abhılıpsa, Mohapatra Jugal, Amirali İlhame, Durmaz Muhammet Enes, Amirali Gabil
Mathematics And Computers İn Simulation (220), 618 - 629
Doi: 10.1016/j.matcom.2024.02.011
2024 Hakemli Uluslararası SCI-Expanded Özgün Makale

2.
An Efficient Numerical Method For A Singularly Perturbed Volterra-Fredholm İntegro-Differential Equation
Durmaz Muhammet Enes, Yapman Ömer, Kudu Mustafa, Amirali Gabil
Hacettepe Journal Of Mathematics And Statistics (52)2, 326 - 339
Doi: 10.15672/hujms.1050505
2023 Hakemli Uluslararası SCI-Expanded Özgün Makale

3.
An Efficient Numerical Method For A Singularly Perturbed Fredholm İntegro-Differential Equation With İntegral Boundary Condition
Durmaz Muhammet Enes, Amirali İlhame, Amirali Gabil
Journal Of Applied Mathematics And Computing (69), 505 - 528
Doi: 10.1007/s12190-022-01757-4
2023 Hakemli Uluslararası SCI-Expanded Özgün Makale

4.
A Second-Order Numerical Approximation Of A Singularly Perturbed Nonlinear Fredholm İntegro-Differential Equation
Durmaz Muhammet Enes, Amirali İlhame, Mohapatra Jugal, Amirali Gabil
Applied Numerical Mathematics (191), 17 - 28
Doi: 10.1016/j.apnum.2023.05.008
2023 Hakemli Uluslararası SCI-Expanded Özgün Makale

5.
A Numerical Approach For Singularly Perturbed Reaction Diffusion Type Volterra-Fredholm İntegro-Differential Equations
Durmaz Muhammet Enes
Journal Of Applied Mathematics And Computing (69), 3601 - 3624
Doi: 10.1007/s12190-023-01895-3
2023 Hakemli Uluslararası SCI-Expanded Özgün Makale

6.
Numerical Solution Of A Singularly Perturbed Fredholm İntegro Differential Equation With Robin Boundary Condition
Durmaz Muhammet Enes, Amirali Gabil, Kudu Mustafa
Turkish Journal Of Mathematics (46)1, 207 - 224
Doi: 10.3906/mat-2109-11
2022 Hakemli Uluslararası SCI-Expanded Özgün Makale

7.
Parameter Uniform Second-Order Numerical Approximation For The İntegro-Differential Equations İnvolving Boundary Layers
Durmaz Muhammet Enes, Çakır Musa, Amirali Gabil
Communications Faculty Of Sciences University Of Ankara Series A1 Mathematics And Statistics (71)4, 954 - 967
Doi: 10.31801/cfsuasmas.1072728
2022 Hakemli Uluslararası ESCI Özgün Makale

8.
Numerical Solution Of Singularly Perturbed Fredholm İntegro-Differential Equations By Homogeneous Second Order Difference Method
Durmaz Muhammet Enes, Çakır Musa, Amirali İlhame, Amirali Gabil
Journal Of Computational And Applied Mathematics (412)114327, -
Doi: 10.1016/j.cam.2022.114327
2022 Hakemli Uluslararası SCI-Expanded Özgün Makale

9.
A Numerical Method For A Second Order Singularly Perturbed Fredholm İntegro-Differential Equation
Amirali Gabil, Durmaz Muhammet Enes, Kudu Mustafa
Miskolc Mathematical Notes (22)1, 37 - 48
Doi: 10.18514/MMN.2021.2930
2021 Hakemli Uluslararası SCI-Expanded Özgün Makale

10.
A Robust Numerical Method For A Singularly Perturbed Fredholm İntegro-Differential Equation
Durmaz Muhammet Enes, Amirali Gabil
Mediterranean Journal Of Mathematics (18)24, 1 - 17
Doi: 10.1007/s00009-020-01693-2
2021 Hakemli Uluslararası SCI-Expanded Özgün Makale

11.
Fitted Second Order Numerical Method For A Singularly Perturbed Fredholm İntegro-Differential Equation
Amirali Gabil, Durmaz Muhammet Enes, Kudu Mustafa
Bulletin Of The Belgian Mathematical Society - Simon Stevin (27)1, 71 - 88
2020 Hakemli Uluslararası SCI-Expanded Özgün Makale

12.
Uniform Convergence Results For Singularly Perturbed Fredholm Integro-Differential Equation
Amirali Gabil, Durmaz Muhammet Enes, Kudu Mustafa
Journal Of Mathematical Analysis (9)6, 55 - 64
2018 Hakemli Uluslararası ESCI-Emerging Sources Citation Index Özgün Makale

1.
Survey Of The Layer Behaviour Of The Singularly Perturbed Fredholm Integro-Differential Equation
Durmaz Muhammet Enes
Journal Of The Institute Of Science And Technology (14)3, 1301 - 1309
Doi: 10.21597/jist.1483651
2024 Hakemli Ulusal TR DİZİN Özgün Makale

Conference Papers

1.
A Computational Method For İntegro-Differential Equation With İnitial-Layer
Durmaz Muhammet Enes
4th International Applied Sciences, Engineering And Mathematics Congress (Icasem-2022) (20.10.2022 - 23.10.2022)
Özet bildiri Uluslararası

2.
First-Order Numerical Method For The Singularly Perturbed Nonlinear Fredholm İntegro-Differential Equation With İntegral Boundary Condition
Amirali İlhame, Durmaz Muhammet Enes, Acar Hülya, Amirali Gabil
International Workshop Mathematical Modeling And Scientific Computing: Focus On Complex Processes And Systems (Mmsc 2022) (04.10.2022 - 07.10.2022)
Doi: 10.1088/1742-6596/2514/1/012003
Tam metin bildiri Uluslararası

3.
A New Difference Method For The Singularly Perturbed Fredholm İntegro-Differential Equation With Robin Boundary Condition On A Shishkin Mesh
Durmaz Muhammet Enes, Kudu Mustafa, Amirali Gabil
International Dumlupınar Science And Mathematics Congress (Idusmac-2022) (05.09.2022 - 07.09.2022)
ISBN: 978-975-7120-40-7
Özet bildiri Uluslararası

4.
Fitted Difference Method For Singularly Perturbed Fredholm İntegro-Differential Equation
Durmaz Muhammet Enes
6th International Conference On Mathematics: An Istanbul Meeting For World Mathematicians (Icom-2022) (21.06.2022 - 24.06.2022)
ISBN: 978-605-67964-8-6
Özet bildiri Uluslararası

5.
A Finite Difference Method For The Singularly Perturbed Fredholm İntegro-Differential Equation
Durmaz Muhammet Enes
8th International Ifs And Contemporary Mathematics Conference (Ifscom2022) (16.06.2022 - 19.06.2022)
ISBN: 978-605-68670-6-4
Özet bildiri Uluslararası

6.
A Uniform Numerical Approach For Singularly Perturbed Fredholm İntegro-Differential Equation
Durmaz Muhammet Enes, Amirali Gabil
6th International Conference On Computational Mathematics And Engineering Sciences (Cmes-2022) (20.05.2022 - 22.05.2022)
Özet bildiri Uluslararası

7.
A Uniformly Convergent Difference Scheme For Singularly Perturbed Fredholm İntegro-Differential Equation On Shishkin Mesh
Durmaz Muhammet Enes, Kudu Mustafa, Amirali Gabil
1. Academia International Conference On Mathematics And Mathematics Education (Aıcmme-2021) (01.12.2021 - 03.12.2021)
ISBN: 978-625-00-0578-1
Özet bildiri Uluslararası

8.
Second Order Numerical Method For The Singularly Perturbed Fredholm İntegro-Differential Problem With Zeroth Order Reduced Equation
Durmaz Muhammet Enes, Çakır Musa, Amirali Gabil
3rd International Conference On Pure And Applied Mathematics (Icpam20) (03.09.2020 - 05.09.2020) , 63 - 63
ISBN: 978-975-7616-73-3
10.09.2020 Özet bildiri Uluslararası

9.
Numerical Solution Of The Fredholm Integro-Differential Equation With Initial-Layer
Durmaz Muhammet Enes, Amirali Gabil
International Conference On Applied Mathematics İn Engineering (Icame) (27.06.2018 - 29.06.2018) , 91 - 91
ISBN: 978-605-65071-8-2
29.06.2018 Özet bildiri Uluslararası

10.
Convergence Analysis Of The Finite Difference Method For A Singularly Perturbed Fredholm Integro-Differential Equation
Durmaz Muhammet Enes, Amirali Gabil
7th International Conference On Applied Analysis And Mathematical Modeling (Icaamm18) (20.06.2018 - 24.06.2018) , 111 - 111
24.06.2018 Özet bildiri Uluslararası

1.
A Computational Method For İntegro-Differential Equation With İnitial-Layer
Durmaz Muhammet Enes
4th International Applied Sciences, Engineering And Mathematics Congress (Icasem-2022) (20.10.2022 - 23.10.2022)
Özet bildiri Uluslararası
2.
First-Order Numerical Method For The Singularly Perturbed Nonlinear Fredholm İntegro-Differential Equation With İntegral Boundary Condition
Amirali İlhame, Durmaz Muhammet Enes, Acar Hülya, Amirali Gabil
International Workshop Mathematical Modeling And Scientific Computing: Focus On Complex Processes And Systems (Mmsc 2022) (04.10.2022 - 07.10.2022)
Doi: 10.1088/1742-6596/2514/1/012003
Tam metin bildiri Uluslararası
3.
A New Difference Method For The Singularly Perturbed Fredholm İntegro-Differential Equation With Robin Boundary Condition On A Shishkin Mesh
Durmaz Muhammet Enes, Kudu Mustafa, Amirali Gabil
International Dumlupınar Science And Mathematics Congress (Idusmac-2022) (05.09.2022 - 07.09.2022)
ISBN: 978-975-7120-40-7
Özet bildiri Uluslararası
4.
Fitted Difference Method For Singularly Perturbed Fredholm İntegro-Differential Equation
Durmaz Muhammet Enes
6th International Conference On Mathematics: An Istanbul Meeting For World Mathematicians (Icom-2022) (21.06.2022 - 24.06.2022)
ISBN: 978-605-67964-8-6
Özet bildiri Uluslararası
5.
A Finite Difference Method For The Singularly Perturbed Fredholm İntegro-Differential Equation
Durmaz Muhammet Enes
8th International Ifs And Contemporary Mathematics Conference (Ifscom2022) (16.06.2022 - 19.06.2022)
ISBN: 978-605-68670-6-4
Özet bildiri Uluslararası
6.
A Uniform Numerical Approach For Singularly Perturbed Fredholm İntegro-Differential Equation
Durmaz Muhammet Enes, Amirali Gabil
6th International Conference On Computational Mathematics And Engineering Sciences (Cmes-2022) (20.05.2022 - 22.05.2022)
Özet bildiri Uluslararası
7.
A Uniformly Convergent Difference Scheme For Singularly Perturbed Fredholm İntegro-Differential Equation On Shishkin Mesh
Durmaz Muhammet Enes, Kudu Mustafa, Amirali Gabil
1. Academia International Conference On Mathematics And Mathematics Education (Aıcmme-2021) (01.12.2021 - 03.12.2021)
ISBN: 978-625-00-0578-1
Özet bildiri Uluslararası
8.
Second Order Numerical Method For The Singularly Perturbed Fredholm İntegro-Differential Problem With Zeroth Order Reduced Equation
Durmaz Muhammet Enes, Çakır Musa, Amirali Gabil
3rd International Conference On Pure And Applied Mathematics (Icpam20) (03.09.2020 - 05.09.2020) , 63 - 63
ISBN: 978-975-7616-73-3
10.09.2020 Özet bildiri Uluslararası
9.
Numerical Solution Of The Fredholm Integro-Differential Equation With Initial-Layer
Durmaz Muhammet Enes, Amirali Gabil
International Conference On Applied Mathematics İn Engineering (Icame) (27.06.2018 - 29.06.2018) , 91 - 91
ISBN: 978-605-65071-8-2
29.06.2018 Özet bildiri Uluslararası
10.
Convergence Analysis Of The Finite Difference Method For A Singularly Perturbed Fredholm Integro-Differential Equation
Durmaz Muhammet Enes, Amirali Gabil
7th International Conference On Applied Analysis And Mathematical Modeling (Icaamm18) (20.06.2018 - 24.06.2018) , 111 - 111
24.06.2018 Özet bildiri Uluslararası

Projects

1.
Kurumsal Mesleki Gelişim Akademisi Öğrenme Yönetim Sistemi Platformunun Geliştirilmesi
01.07.2024 Yükseköğretim Kurumları Tarafından Destekli Bilimsel Araştırma Projesi ULUSAL Yürütücü Devam Ediyor 24972 TÜRK LİRASI

Lectures

Term	Course Name	Language	Course Hours
2023-2024	İşletme Matematiği	Türkçe	2
2023-2024	Genel Matematik	Türkçe	2

Term	Course Name	Language	Course Hours
2023-2024	Matematik	Türkçe	3

Rewards

Tübitak Yayın Teşvik
2023

Akademik Yayın Teşvik Ödeneği
2023

Tübitak Yayın Teşvik
2022

Akademik Yayın Teşvik Ödeneği
2022

Tübitak Yayın Teşvik
2021