Assoc. Prof. Özgür YILDIRIM


Faculty of Arts & Science, Department of Mathemeatics

Applied Mathematics


Research Areas: Mathematics, Differential Equations, Functional Equations, Functional Analysis, Fourier Analysis, Integral Transformations, Computational Calculation, Partial Differential Equations, Numerical Analysis, Natural Sciences

Metrics

Publication

50

Citation (WoS)

110

H-Index (WoS)

5

Citation (Scopus)

151

H-Index (Scopus)

7

Project

5

Thesis Advisory

6

Open Access

12

Announcements & Documents

PDE Project Homework
Homework
6/11/2023

Dear All,


Write at least two problems and solutions about each of the subjects below. The homework must be prepared in Latex or Microsoft Word (docx) format. Equations must be written using the equation editor or MathType in Word or Latex. Equations in photo format are not accepted. Homeworks consisting of all the same examples and the same solutions will not be accepted


Homework must be uploaded to the YTU online system in a Microsoft Word document. The deadline is 12.06.2023 till 23:59 (Final exam day). Assignment after the deadline will not be accepted.


Midterm Exam : %30, Percentage of Homework: %30, Final Exam: %40


 


1.      First-order partial differential equations (Integral Curves)


2.      First-order partial differential equations (Integral Surfaces)


3.      First-order partial differential equations (Vector Fields)


4.      First-order partial differential equations (Lagrange Charpit Method)


5.      Second order PDEs, Separation of variables method


6.      Second Order Linear PDEs (Canonical Forms)


7.      Second Order Linear PDEs (D’Alembert Formula and solution method)


8.      Parabolic (Heat) equation (Uniqueness, Energy method)


9.      Parabolic (Heat) equation (Maximum principle)


10. Parabolic (Heat) equation (Fundamental solution)


11. Laplace’s equations (Fundamental Solutions)


12. Poisson’s equation (Fundamental solution)


13. Poisson’s equation (Green functions)


14. Initial and boundary value problems for wave equation


15. Wave equations (Energy estimates)

PDE Homework
Homework
4/18/2023

Dear All,


Write at least two problems and solutions about each of the subjects below. The homework must be prepared in Latex or Microsoft Word (docx) format. Equations must be written using the equation editor or MathType in Word or Latex. Equations in photo format are not accepted. Homeworks consisting of all the same examples and the same solutions will not be accepted


Homework must be uploaded to the YTU online system in a Microsoft Word document. The deadline is 12.06.2023 till 23:59 (Final exam day). Assignments after the deadline will not be accepted.


Midterm Exam : %30, Percentage of Homework: %30, Final Exam: %40


 


1.      First-order partial differential equations (Integral Curves)


2.      First-order partial differential equations (Integral Surfaces)


3.      First-order partial differential equations (Vector Fields)


4.      First-order partial differential equations (Lagrange Charpit Method)


5.      Second order PDEs, Separation of variables method


6.      Second Order Linear PDEs (Canonical Forms)


7.      Second Order Linear PDEs (D’Alembert Formula and solution method)


8.      Parabolic (Heat) equation (Uniqueness, Energy method)


9.      Parabolic (Heat) equation (Maximum principle)


10. Parabolic (Heat) equation (Fundamental solution)


11. Laplace’s equations (Fundamental Solutions)


12. Poisson’s equation (Fundamental solution)


13. Poisson’s equation (Green functions)


14. Initial and boundary value problems for wave equation


15. Wave equations (Energy estimates)

Homeworks_Spring_2023_YTU.pdf Creative Commons License

PDE Lecture Notes
Lecture Note
4/13/2023

Dear All,

I have attached the PDE lecture notes. The password will be shared by email through OBS.

Best

PDE Lecture Notes.rar Creative Commons License

MAT2171 Differential Equations I Syllabus
Announcement
10/6/2021

Dear All,

MAT2171 Differential Equations I course syllabus are attached below.

Best regards

MAT2171_2021_Güz.pdf Creative Commons License

Linear Algebra Course Contents MAT1320
Lecture Note
2/6/2020

Linear Algebra Course Contents MAT1320

Linear Algebra Course Contenst MAT1....pdf Creative Commons License

Mathematics 1 Course Contents MAT1071
Lecture Note
2/6/2020

Mathematics 1 Course Contents MAT1071

MATHEMATICS 1_MAT1071_New_English_2....pdf Creative Commons License

Education Information

2007 - 2011

2007 - 2011

Doctorate

Bursa Uludağ University, Faculty Of Arts And Scıences, Turkey

1996 - 2000

1996 - 2000

Undergraduate

Uludağ Üniversitesi, Fen Edebiyat Fakültesi, Matematik, Turkey

Dissertations

2011

2011

Doctorate

Lokal olmayan hiperbolik problemler için kararlı fark şemaları

Bursa Uludağ University, Fen Bilimleri Enstitüsü, Fen Bilimleri Enstitüsü

Foreign Languages

C2 Mastery

C2 Mastery

English

Research Areas

Mathematics

Differential Equations

Functional Equations

Functional Analysis

Fourier Analysis

Integral Transformations, Computational Calculation

Partial Differential Equations

Numerical Analysis

Natural Sciences

Academic Titles / Tasks

2018 - Continues

2018 - Continues

Associate Professor

Yildiz Technical University, Faculty Of Arts & Science, Department Of Mathemeatics

2012 - 2018

2012 - 2018

Assistant Professor

Yildiz Technical University, Faculty Of Arts & Science, Department Of Mathemeatics

Published journal articles indexed by SCI, SSCI, and AHCI

Refereed Congress / Symposium Publications in Proceedings

2022

2022

On the weak solution of third order of accuracy difference scheme for coupled sine-Gordon equations

YILDIRIM Ö., Batıbay Yumurtacı B.

Sixth International Conference on Analysis and Applied Mathematics, Almaty, Kazakhstan, 31 October - 06 November 2022

2022

2022

Mathematical modelling of traffic with regression analysis and machine learning

YILDIRIM Ö., DEMİR S.

Sixth International Conference on Analysis and Applied Mathematics, Almaty, Kazakhstan, 31 October - 06 November 2022

2020

2020

On the Asymptotic Formula for the Solution of Nonlocal Boundary Value Perturbation Problems for Hyperbolic Equations

Ashyralyev A., YILDIRIM Ö.

5th International Conference on Analysis and Applied Mathematics (ICAAM), Mersin, Turkey, 23 - 30 September 2020, vol.2325 identifier identifier

2019

2019

On unique solvability of nonlinear coupled systems

Yıldırım Ö., Uzun M.

International Conference of Mathematical Sciences (ICMS 2019), İstanbul, Turkey, 4 - 08 September 2019, pp.1-10

2019

2019

Symmetry analysis of the discrete nonlinear boundary value problems for the wave equation

Yıldırım Ö., Çağlak S.

International Conference of Mathematical Sciences (ICMS 2019), İstanbul, Turkey, 4 - 08 September 2019, pp.1-10

2019

2019

On Weak Solvability of Coupled Systems

Yıldırım Ö., Uzun M.

3. International Conference on Mathematics: An Istanbul Meeting for World Mathematicians, İstanbul, Turkey, 3 - 05 July 2019 Creative Commons License

2019

2019

ON GENERALIZED SOLUTIONS OF NONLINEAR SYSTEMS

Yıldırım Ö., Uzun M.

6th International Congress on Fundamental and Applied Sciences 2019 (ICFAS2019), Tirane, Albania, 18 - 20 June 2019, pp.146 Creative Commons License

2019

2019

Lie Point Symmetries of Difference Equation

Yıldırım Ö., Çağlak S.

INTERNATIONAL CONFERENCE on MATHEMATICAL ADVANCES and APPLICATIONS (ICOMAA2019), İstanbul, Turkey, 3 - 05 May 2019, pp.1-5

2019

2019

A Note on the Numerical Solution of Coupled Klein-Gordon Equations

YILDIRIM Ö., UZUN M.

3rd International Conference of Mathematical Sciences (ICMS), İstanbul, Turkey, 4 - 08 September 2019, vol.2183 Creative Commons License identifier identifier

2018

2018

Invariant difference schemes for sine-Gordon equations, Fourth International Conference on Analysis and Applied Mathematics

Yıldırım Ö., Çağlak S.

Fourth International Conference on Analysis and Applied Mathematics, Lefkoşa, Cyprus (Kktc), 6 - 09 September 2018, pp.1-10

2018

2018

NUMERICAL SOLUTION OF HYPERBOLIC EQUATIONS WITH NONLOCAL BVPs

Yıldırım Ö., Uzun M.

5th International Congress on Fundamental and Applied Sciences 2018 (ICFAS2018), Skopje, Macedonia, 18 - 22 June 2018, pp.212 Creative Commons License

2018

2018

On the Numerical Solution of Nonlinear System of Coupled Sine-Gordon Equations

Yıldırım Ö., Uzun M., Altun O.

4th International Conference on Analysis and Applied Mathematics (ICAAM), Mersin, Turkey, 6 - 09 September 2018, vol.1997 identifier identifier

2017

2017

Unique Solvability Results on Boundary Value Problems for Semilinear Hyperbolic Equations

Yıldırım Ö., Uzun M.

International Congress on Fundamental and Applied Sciences, Sarajevo, Bosnia And Herzegovina, 21 - 25 August 2017, pp.78

2017

2017

A Note on the Exact Solution Methods for Nonlinear PDEs

Yıldırım Ö., Uzun M.

International Congress on Fundamental and Applied Sciences 2017 (ICFAS2017), Sarajevo, Bosnia And Herzegovina, 21 August 2017, pp.78

2017

2017

On the Existence and Uniqueness of Solutions to Nonlinear Wave Equations

Yıldırım Ö., Uzun M.

International Conference on Mathematics and Mathematics Education, Şanlıurfa, Turkey, 11 - 13 May 2017, pp.549-550 identifier

2016

2016

On the analytical solution methods for sine Gordon equation

Yıldırım Ö., Uzun M.

ICAAM 2016, Almati, Kazakhstan, 7 - 10 September 2016

2016

2016

On the numerical solution of sine Gordon equation

Yıldırım Ö., Uzun M.

ICAAM 2016, Almati, Kazakhstan, 7 - 10 September 2016 identifier identifier identifier

2016

2016

On stable difference schemes for multipoint NBVP of the hyperbolic type

Yıldırım Ö., Uzun M.

International Congress on Fundamental and Applied Sciences (ICFAS 2016), İstanbul, Turkey, 22 August 2016, pp.122

2016

2016

On Stability of Fourth Order of Accuracy Difference Scheme for Hyperbolic Multipoint NBVP with Neumann Conditions

Yıldırım Ö., Uzun M.

International Conference on Mathematics and Mathematics Education (ICMME 2016), Elazığ, Turkey, 12 - 15 May 2016, pp.392-393

2016

2016

On stability of difference schemes for hyperbolic multipoint NBVP with Neumann conditions

YILDIRIM Ö., UZUN M.

3rd International Conference on Analysis and Applied Mathematics (ICAAM), Almaty, Kazakhstan, 7 - 10 September 2016, vol.1759 identifier identifier

2015

2015

A Note on the Numerical Solution of Multipoint Nonlocal Boundary Value Hyperbolic Problem with Neumann Conditions

Yıldırım Ö., Uzun M.

International Conference on Analysis and Mathematical Modelling (ICAAMM2015), İstanbul, Turkey, 08 June 2015, pp.200

2015

2015

On stability of high order difference schemes for hyperbolic multipoint nonlocal boundary value problem

Yıldırım Ö., Uzun M.

AMS- EMS- SPM International Meeting 2015, Porto, Portugal, 10 - 13 June 2015, pp.75

2014

2014

On third order of accuracy stable difference scheme for multipoint nbvp of the hyperbolic type

Yıldırım Ö., Uzun M.

Second International Conference on Analysis and Applied Mathematics (ICAAM 2014), Simkent, Kazakhstan, 11 - 13 September 2014, pp.90-91

2014

2014

High order of accuracy stable difference schemes for the approximate solution of the multipoint NBVP for the hyperbolic equation

YILDIRIM Ö., UZUN M.

2nd International Conference on Analysis and Applied Mathematics (ICAAM), Shymkent, Kazakhstan, 11 - 13 September 2014, vol.1611, pp.305-309 identifier identifier

2013

2013

ON THE STABILITY OF HIGH ORDER OF ACCURACY DIFFERENCE SCHEMES FOR NONLOCAL BOUNDARY VALUE PROBLEMS WITH SELF ADJOINT OPERATOR

Yıldırım Ö., Ashyralyev A.

Differential Equations. Function Spaces. Approximation Theory, Novosibirsk, Russia, 18 - 24 August 2013, pp.434-435

2013

2013

On stability of a fourth order of accuracy difference scheme for nonlocal BVPs with self-adjoint operator

YILDIRIM Ö.

International Conference on Applied analysis and Mathematical Modelling (ICAAMM2013), 01 June 2013

2012

2012

High Order Accurate Difference Schemes for Hyperbolic IBVP

Ashyralyev A., Yildirim O.

5th International Conference Numerical Analysis and Applications (NAA), Lozenetz, Bulgaria, 15 - 20 June 2012, vol.8236, pp.174-181 identifier

2012

2012

Stable High Order of Accuracy Difference Schemes for Hyperbolic IBVP

Ashyralyev A., Yıldırım Ö.

International Conference on Applied Analysıs and Algebra (ICAAA 2012), İstanbul, Turkey, 20 - 24 June 2012, pp.213

2012

2012

High Order of Accuracy Stable Difference Schemes for Numerical Solutions of NBVP for Hyperbolic Equations

Ashyralyev A., Yildirim O.

1st International Conference on Analysis and Applied Mathematics (ICAAM), Gümüşhane, Turkey, 18 - 21 October 2012, vol.1470, pp.84-87 identifier identifier

2011

2011

Second Order of Accuracy Stable Difference Schemes for Hyperbolic Problems Subject to Nonlocal Conditions with Self-Adjoint Operator

Ashyralyev A., Yildirim O.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Halkidiki, Greece, 19 - 25 September 2011, vol.1389 identifier identifier

2009

2009

A Note on Hyperbolic Equations with Nonlocal Boundary and Dirichlet-Neumann Conditions

Ashyralyev A., Yıldırım Ö.

International Conference of Mathematical Sciences (ICMS 2009), İstanbul, Turkey, 4 - 10 August 2009, pp.1

2007

2007

A NOTE ON THE NUMERICAL SOLUTIONS OF HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS

Yıldırım Ö., Ashyalyev A.

II. Türk dünyası matematik sempozyumu, (04-07 Temmuz 2007), Sakarya, Turkey, 4 - 07 July 2007, pp.1-10

Activities in Scientific Journals

2017 - 2020

2017 - 2020

Applied and Computational Mathematics

Committee Member

Memberships / Tasks in Scientific Organizations

2014 - Continues

2014 - Continues

European Mathematical Society (EMS)

Member

Scientific Refereeing

June 2017

June 2017

Thermal Science

SCI Journal

June 2017

June 2017

Numerical Mathematics Theory Methods and Applications

SCI Journal

March 2017

March 2017

FILOMAT

SCI Journal

February 2017

February 2017

FILOMAT

SCI Journal

November 2016

November 2016

Numerical Functional Analysis and Optimization

SCI Journal

August 2016

August 2016

Springer plus

SCI Journal

July 2014

July 2014

Applied Mathematics & Information Sciences

SCI Journal

Tasks In Event Organizations

Eylül 2018

Eylül 2018

International Conference on Analysis and Applied Mathematics (ICAAM 2018)

Scientific Congress

Yıldırım Ö.
Lefkoşa, Cyprus (Kktc)

Eylül 2016

Eylül 2016

International Conference on Analysis and Applied Mathematics (ICAAM 2016)

Scientific Congress

Yıldırım Ö.
Almati, Kazakhstan

Ağustos 2016

Ağustos 2016

International Congress on Fundamental and Applied Sciences (ICFAS 2016)

Scientific Congress

Yıldırım Ö.
İstanbul, Turkey

Eylül 2014

Eylül 2014

ICAAM 2014 Second International Conference on Analysis and Applied Mathematics

Scientific Congress

Yıldırım Ö.
Simkent, Kazakhstan


Citations

Total Citations (WOS): 110

h-index (WOS): 5