Publications & Works

Publication Network
Journal articles indexed in SCI, SSCI, and AHCI 12

1. On the unique weak solvability of second-order unconditionally stable difference scheme for the system of sine-Gordon equations

YILDIRIM Ö.
Nonlinear Analysis: Modelling and Control , vol.29, no.2, pp.244-264, 2024 (SCI-Expanded) Creative Commons License identifier

2. On Exact Solutions of Some Space–Time Fractional Differential Equations with M-truncated Derivative

Özkan A., Özkan E. M., Yildirim O.
FRACTAL AND FRACTIONAL , vol.2023, no.7, pp.1-14, 2023 (SCI-Expanded) identifier identifier

3. Weak solvability of the unconditionally stable difference scheme for the coupled sine-Gordon system

YILDIRIM Ö., UZUN M.
NONLINEAR ANALYSIS-MODELLING AND CONTROL , vol.25, no.6, pp.997-1014, 2020 (SCI-Expanded) Creative Commons License identifier identifier

4. Lie point symmetries of difference equations for the nonlinear sine-Gordon equation

Yıldırım Ö., Caglak S.
PHYSICA SCRIPTA , vol.94, 2019 (SCI-Expanded) identifier identifier

5. On Fourth-Order Stable Difference Scheme for Hyperbolic Multipoint NBVP

Yıldırım Ö., Uzun M.
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION , vol.38, pp.1305-1324, 2017 (SCI-Expanded) identifier identifier

6. On the numerical solutions of high order stable difference schemes for the hyperbolic multipoint nonlocal boundary value problems

Yıldırım Ö., Uzun M.
APPLIED MATHEMATICS AND COMPUTATION , vol.254, pp.210-218, 2015 (SCI-Expanded) identifier identifier

7. On Third Order Stable Difference Scheme for Hyperbolic Multipoint Nonlocal Boundary Value Problem

Yıldırım Ö., Uzun M.
DISCRETE DYNAMICS IN NATURE AND SOCIETY , 2015 (SCI-Expanded) Creative Commons License identifier identifier

8. On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes

Ashyralyev A., Yıldırım Ö.
BOUNDARY VALUE PROBLEMS , 2013 (SCI-Expanded) Creative Commons License identifier identifier

9. On Stability of a Third Order of Accuracy Difference Scheme for Hyperbolic Nonlocal BVP with Self-Adjoint Operator

Ashyralyev A., Yıldırım Ö.
ABSTRACT AND APPLIED ANALYSIS , 2013 (SCI-Expanded) Creative Commons License identifier identifier

10. A Note on the Second Order of Accuracy Stable Difference Schemes for the Nonlocal Boundary Value Hyperbolic Problem

Ashyralyev A., Yıldırım Ö.
ABSTRACT AND APPLIED ANALYSIS , 2012 (SCI-Expanded) Creative Commons License identifier identifier

11. Stable difference schemes for the hyperbolic problems subject to nonlocal boundary conditions with self-adjoint operator

Ashyralyev A., Yildirim O.
APPLIED MATHEMATICS AND COMPUTATION , vol.218, pp.1124-1131, 2011 (SCI-Expanded) identifier identifier

12. ON MULTIPOINT NONLOCAL BOUNDARY VALUE PROBLEMS FOR HYPERBOLIC DIFFERENTIAL AND DIFFERENCE EQUATIONS

Ashyralyev A., Yildirim O.
TAIWANESE JOURNAL OF MATHEMATICS , vol.14, pp.165-194, 2010 (SCI-Expanded) identifier identifier
Articles Published in Other Journals 4

1. Weak solutions of unconditionally stable second-order difference schemes for nonlinear sine-Gordon systems

Yıldırım Ö.
e-Journal of Analysis and Applied Mathematics , vol.2024, no.5, pp.1-24, 2024 (Scopus) identifier

2. On the Lie symmetries of the boundary value problems for differential and difference sine-Gordon equations

YILDIRIM Ö., Caglak S.
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS , vol.102, no.2, pp.142-153, 2021 (ESCI) Creative Commons License identifier identifier

3. On stable high order difference schemes for hyperbolic problems with the Neumann boundary conditions

Yıldırım Ö.
International Journal of Optimization and Control: Theories and Applications , vol.9, pp.60-72, 2019 (Scopus) identifier

4. A Note On The Numerical Solutions Of Hyperbolic Partial Differential Equations

Yıldırım Ö., Ashyralyev A.
Sakarya Universitesi Fen Edebiyat Dergisi , vol.9, no.2, pp.33-49, 2007 (Peer-Reviewed Journal)
Papers Presented at Peer-Reviewed Scientific Conferences 36

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

Yıldırım Ö., Batıbay Yumurtacı B.
Sixth International Conference on Analysis and Applied Mathematics, Almati, Kazakhstan, 31 October - 06 November 2022, (Summary Text)

2. Mathematical modelling of traffic with regression analysis and machine learning

Yıldırım Ö., Demir S.
Sixth International Conference on Analysis and Applied Mathematics, Almati, Kazakhstan, 31 October - 06 November 2022, (Summary Text)

3. 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

4. NUMERICAL ANALYSIS OF THE NONLINEAR WAVE SYSTEMS BY A NOVEL ITERATIVE METHOD

YILDIRIM Ö., UZUN M.
ICFAS 2020, 06 October 2020

5. On Convergence of Second Order of AccuracyFinite-Dierence Scheme for Coupled sine-GordonEquations

YILDIRIM Ö., UZUN M.
CMMSE’20, ROTA CADIZ, Spain, 3 - 09 July 2020

6. 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, (Summary Text)

7. 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, (Summary Text)

8. 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

9. A COMPOSITE NUMERICAL METHOD ON THE SOLUTION OF COUPLED SINE-GORDON EQUATIONS BASED ON THE FIXED POINT THEORY

Yıldırım Ö., Uzun M.
Banach Spaces and their Applications, Lviv, Ukraine, 26 - 29 June 2019 Creative Commons License

10. 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

11. 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, (Summary Text)

12. 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, (Full Text) Creative Commons License identifier identifier

13. 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

14. 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

15. 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

16. 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

17. 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

18. 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

19. On the numerical solution of sine Gordon equation

Yıldırım Ö., Uzun M.
ICAAM 2016, Almati, Kazakhstan, 7 - 10 September 2016 identifier identifier identifier

20. On the analytical solution methods for sine Gordon equation

Yıldırım Ö., Uzun M.
ICAAM 2016, Almati, Kazakhstan, 7 - 10 September 2016

21. 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

22. 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

23. 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, (Full Text) identifier identifier

24. 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, (Summary Text)

25. 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

26. 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

27. On fourth order of accuracy stable difference scheme for multipoint nbvp of the hyperbolic type

Yıldırım Ö., Uzun M.
ICAAM 2014, Simkent, Kazakhstan, 11 - 13 September 2014

28. 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

29. 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

30. 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

31. 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

32. 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

33. 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

34. 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

35. 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

36. 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
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