Yayınlar & Eserler

Yayın Ağı
Makaleler 57
Tümü (57)
SCI-E, SSCI, AHCI (36)
SCI-E, SSCI, AHCI, ESCI (39)
ESCI (3)
Scopus (38)
Diğer Yayınlar (17)

1. A robust septic hermite collocation technique for dirichlet boundary condition Heat conduction equation

KUTLUAY S., YAĞMURLU N. M., Karakaş A. S.
International Journal of Mathematics and Computer in Engineering , cilt.3, sa.2, ss.253-266, 2025 (Scopus) identifier

2. A New Perspective for Simulations of Equal-Width Wave Equation

KUTLUAY S., YAĞMURLU N. M., Karakaş A. S.
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS , cilt.1, sa.1, ss.1-19, 2025 (ESCI, Scopus)

3. A novel perspective for simulations of the Modified Equal-Width Wave equation by cubic Hermite B-spline collocation method

KUTLUAY S., YAĞMURLU N. M., Karakaş A. S.
Wave Motion , cilt.129, 2024 (SCI-Expanded, Scopus) identifier

4. An Effective Numerical Approach Based on Cubic Hermite B-spline Collocation Method for Solving the 1D Heat Conduction Equation

KUTLUAY S., YAĞMURLU N. M., Karakaş A. S.
New Trends in Mathematical Sciences , cilt.10, sa.4, ss.20-31, 2022 (Hakemli Dergi)

5. An efficient Strang splitting technique combined with the multiquadric-radial basis function for the Burgers' equation

SEYDAOĞLU M., UÇAR Y., KUTLUAY S.
COMPUTATIONAL & APPLIED MATHEMATICS , cilt.40, sa.8, 2021 (SCI-Expanded, Scopus) identifier

6. Strang time-splitting technique for the generalised Rosenau-RLW equation

KUTLUAY S., Karta M., UÇAR Y.
PRAMANA-JOURNAL OF PHYSICS , cilt.95, sa.3, 2021 (SCI-Expanded, Scopus) identifier

7. Operator time-splitting techniques combined with quintic B-spline collocation method for the generalized Rosenau-KdV equation

KUTLUAY S., Karta M., YAĞMURLU N. M.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS , cilt.35, sa.6, ss.2221-2235, 2019 (SCI-Expanded, Scopus) identifier identifier

8. A Finite Element Method to Solve the System of Two-dimensional Burgers' Equations

KUTLUAY S., YAGMURLU N. M., UÇAR Y., TASBOZAN O.
INTERNATIONAL JOURNAL OF ENGINEERING MATHEMATICS AND PHYSICS , cilt.1, ss.1-10, 2019 (Hakemli Dergi)

9. Exact solutions of nonlinear evolution equations using the extended modified Exp(-Omega(xi)) function method

KARAAĞAÇ B., Kutluay S., Yagmurlu N. M., ESEN A.
TBILISI MATHEMATICAL JOURNAL , cilt.12, sa.3, ss.109-119, 2019 (ESCI) identifier

10. A Finite Element Method to Solve the System of Two-dimensional Burger’ Equations

KUTLUAY S., YAĞMURLU N. M., UÇAR Y., TAŞBOZAN O.
International Journal of Engineering Mathematics Physics , cilt.2019, sa.1, ss.1-10, 2019 (Hakemli Dergi)

11. Numerical solutions of Rosenau-RLW equation using Galerkin cubic B-spline finite element method

YAGMURLU N. M., KARAAGAC B., KUTLUAY S.
AMERICAN JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS , cilt.7, sa.1, ss.1-10, 2017 (Hakemli Dergi)

12. The ModifBi-quintic B-spline Base Functions: An Application to Diffusion Equation

KUTLUAY S., YAGMURLU N. M.
INTERNATIONAL JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS , cilt.5, sa.1, ss.26-32, 2017 (Hakemli Dergi)

13. The Modified Bi-Quintic B-spline Base Functions: An Application to Diffusion Equation

KUTLUAY S., YAĞMURLU N. M.
International Journal of Partial Differential Euqations and Applications , cilt.5, sa.1, ss.26-32, 2017 (Hakemli Dergi)

14. Numerical Solutions of Rosenau-RLW Equation Using Galerkin Cubic B-Spline Finite Element Method

YAĞMURLU N. M., KARAAĞAÇ B., KUTLUAY S.
American Journal of Computational and Applied Mathematics , cilt.7, sa.1, ss.1-10, 2017 (Hakemli Dergi)

15. A Numerical Approach to the Rosenau-KdV equation using Galerkin Cubic Finite Element Method

UÇAR Y., KARAAGAC B., KUTLUAY S.
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS , cilt.56, sa.3, ss.83-92, 2017 (ESCI) identifier

16. Numerical Solutions of the Modified Burgers Equation by a Cubic B-spline Collocation Method

KUTLUAY S., UÇAR Y., YAĞMURLU N. M.
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY , cilt.39, sa.4, ss.1603-1614, 2016 (SCI-Expanded, Scopus) identifier identifier

17. Approximate Analytical Solutions of the Damped Burgers and Boussinesq Burgers Equations

ESEN A., TAŞBOZAN O., KUTLUAY S.
Çankaya University Journal of Science and Engineering , cilt.11, sa.1, ss.65-76, 2014 (Hakemli Dergi)

18. Derivation of the modified Bi-quintic B-spline base functions: an application to poisson equation

KUTLUAY S., YAGMURLU N. M.
AMERICAN JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS , cilt.3, sa.1, ss.26-32, 2013 (Hakemli Dergi)

19. Numerical solutions of the coupled Burgers' equation by the Galerkin quadratic B-spline finite element method

KUTLUAY S., UÇAR Y.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES , cilt.36, sa.17, ss.2403-2415, 2013 (SCI-Expanded, Scopus) identifier identifier

20. Numerical solution of a coupled modified Korteweg-de Vries equation by the Galerkin method using quadratic B-splines

KUTLUAY S., UÇAR Y.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS , cilt.90, sa.11, ss.2353-2371, 2013 (SCI-Expanded, Scopus) identifier identifier

21. Derivation of the Modified Bi quintic B spline Base Functions An Application to Poisson Equation

KUTLUAY S., YAĞMURLU N. M.
American Journal of Computational and Applied Mathematics , cilt.3, sa.1, ss.26-32, 2013 (Hakemli Dergi)

22. Applications of the Exp function Method for the MkdV Sine Gordon and Boussinesq double Sine Gordon Equations

ESEN A., TAŞBOZAN O., KUTLUAY S.
World Applied Sciences Journal , cilt.22, sa.1, ss.147-151, 2013 (Hakemli Dergi)

23. A Quadratic B-Spline Galerkin Approach for Solving a Coupled KdV Equation

KUTLUAY S., UÇAR Y.
MATHEMATICAL MODELLING AND ANALYSIS , cilt.18, sa.1, ss.103-121, 2013 (SCI-Expanded, Scopus) identifier identifier

24. The modified B--quintic B-splines for solving the two-dimensionalunsteady Burgers'equation

KUTLUAY S., YAGMURLU N. M.
EUROPEAN INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY , cilt.1, sa.2, ss.23-39, 2012 (Hakemli Dergi)

25. Approximate Analytical Solutions of Fractional Coupled mKdV Equation by Homotopy Analysis Method

Taşbozan O., ESEN A., KUTLUAY S.
Open Journal of Applied Sciences , cilt.2, ss.193-197, 2012 (Hakemli Dergi)

26. Approximate Analytical Solutions of Fractional Coupled mKdV Equation by Homotopy Analysis Method

Taşbozan O., ESEN A., KUTLUAY S.
Open Journal of Applied Sciences , cilt.2, ss.193-197, 2012 (Hakemli Dergi)

27. The Modified Bi quintic B Splines for Solving the Two Dimensional Unsteady Burgers Equation

KUTLUAY S., YAĞMURLU N. M.
European International Journal of Science and Technology , cilt.1, sa.2, ss.23-39, 2012 (Hakemli Dergi)

28. The (G '/G)-expansion method for some nonlinear evolution equations

KUTLUAY S., ESEN A., TASBOZAN O.
APPLIED MATHEMATICS AND COMPUTATION , cilt.217, sa.1, ss.384-391, 2010 (SCI-Expanded, Scopus) identifier identifier

29. Application of the Exp-function method to the two dimensional sine-Gordon equation

ESEN A., KUTLUAY S.
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION , cilt.10, sa.10, ss.1355-1359, 2009 (SCI-Expanded, Scopus) identifier identifier

30. Travelling Wave Solutions for the Generalized (2+1)-Dimensional ZK-MEW Equation

ESEN A., KUTLUAY S.
International Journal of Nonlinear Science , cilt.8, sa.4, ss.428-434, 2009 (Hakemli Dergi)

31. Exp-function Method for Solving the General Improved KdV Equation

KUTLUAY S., ESEN A.
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION , cilt.10, sa.6, ss.717-725, 2009 (SCI-Expanded, Scopus) identifier identifier

32. New Solitonary Solutions for the Generalized RLW Equation by He's Exp-function Method

ESEN A., KUTLUAY S.
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION , cilt.10, sa.5, ss.551-556, 2009 (SCI-Expanded, Scopus) identifier identifier

33. Solitary wave solutions of the modified equal width wave equation

ESEN A., KUTLUAY S.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION , cilt.13, sa.8, ss.1538-1546, 2008 (SCI-Expanded, Scopus) identifier identifier

34. A heat balance integral solution of the thermistor problem with a modified electrical conductivity

Kutluay S., WOOD A., Esen A.
APPLIED MATHEMATICAL MODELLING , cilt.30, sa.4, ss.386-394, 2006 (SCI-Expanded, Scopus) identifier identifier

35. Application of a lumped Galerkin method to the regularized long wave equation

Esen A., Kutluay S.
APPLIED MATHEMATICS AND COMPUTATION , cilt.174, sa.2, ss.833-845, 2006 (SCI-Expanded, Scopus) identifier identifier

36. A linearized implicit finite-difference method for solving the equal width wave equation

Esen A., Kutluay S.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS , cilt.83, sa.3, ss.319-330, 2006 (SCI-Expanded, Scopus) identifier identifier

37. A finite difference solution of the regularized long-wave equation

Kutluay S., Esen A.
MATHEMATICAL PROBLEMS IN ENGINEERING , cilt.2006, 2006 (SCI-Expanded, Scopus) identifier identifier

38. Numerical schemes for one-dimensional Stefan-like problems with a forcing term

Kutluay S.
APPLIED MATHEMATICS AND COMPUTATION , cilt.168, sa.2, ss.1159-1168, 2005 (SCI-Expanded, Scopus) identifier identifier

39. Numerical solution of Burgers' equation by quadratic B-spline finite elements

OZIS T., Esen A., Kutluay S.
APPLIED MATHEMATICS AND COMPUTATION , cilt.165, sa.1, ss.237-249, 2005 (SCI-Expanded, Scopus) identifier identifier

40. An analytical-numerical method for solving the Korteweg-de Vries equation

OZER S., Kutluay S.
APPLIED MATHEMATICS AND COMPUTATION , cilt.164, sa.3, ss.789-797, 2005 (SCI-Expanded, Scopus) identifier identifier

41. Finite element approaches to the PTC thermistor problem

Kutluay S., Esen A.
APPLIED MATHEMATICS AND COMPUTATION , cilt.163, sa.1, ss.147-162, 2005 (SCI-Expanded, Scopus) identifier identifier

42. Numerical solutions of the thermistor problem by spline finite elements

Kutluay S., Esen A.
APPLIED MATHEMATICS AND COMPUTATION , cilt.162, sa.1, ss.475-489, 2005 (SCI-Expanded, Scopus) identifier identifier

43. Finite element solution of the thermistor problem with a ramp electrical conductivity

Kutluay S., ESEN A.
APPLIED MATHEMATICS AND COMPUTATION , cilt.161, sa.3, ss.897-913, 2005 (SCI-Expanded, Scopus) identifier identifier

44. A lumped Galerkin method for solving the Burgers equation

Kutluay S., Esen A.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS , cilt.81, sa.11, ss.1433-1444, 2004 (SCI-Expanded, Scopus) identifier identifier

45. A B-spline finite element method for the thermistor problem with the modified electrical conductivity

Kutluay S., Esen A.
APPLIED MATHEMATICS AND COMPUTATION , cilt.156, sa.3, ss.621-632, 2004 (SCI-Expanded, Scopus) identifier identifier

46. A linearized numerical scheme for Burgers-like equations

Kutluay S., Esen A.
APPLIED MATHEMATICS AND COMPUTATION , cilt.156, sa.2, ss.295-305, 2004 (SCI-Expanded, Scopus) identifier identifier

47. Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method

Kutluay S., Esen A., Dag I.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS , cilt.167, sa.1, ss.21-33, 2004 (SCI-Expanded, Scopus) identifier identifier

48. An isotherm migration formulation for one-phase Stefan problem with a time dependent Neumann condition

Kutluay S., Esen A.
APPLIED MATHEMATICS AND COMPUTATION , cilt.150, sa.1, ss.59-67, 2004 (SCI-Expanded, Scopus) identifier identifier

49. A numerical solution of the Stefan problem with a Neumann-type boundary condition by enthalpy method

Esen A., Kutluay S.
APPLIED MATHEMATICS AND COMPUTATION , cilt.148, sa.2, ss.321-329, 2004 (SCI-Expanded, Scopus) identifier identifier

50. Numerical solutions of the thermistor problem with a ramp electrical conductivity

Kutluay S., WOOD A.
APPLIED MATHEMATICS AND COMPUTATION , cilt.148, sa.1, ss.145-162, 2004 (SCI-Expanded, Scopus) identifier identifier

51. A small time solutions for the Korteweg-de Vries equation

Kutluay S., Bahadir A. R., Ozdes A.
APPLIED MATHEMATICS AND COMPUTATION , cilt.107, ss.203-210, 2000 (SCI-Expanded, Scopus) identifier identifier

52. A variety of finite difference methods to the thermistor with a new modified electrical conductivity

Kutluay S., Bahadir A. R., Ozdes A.
APPLIED MATHEMATICS AND COMPUTATION , cilt.106, ss.205-213, 1999 (SCI-Expanded, Scopus) identifier identifier

53. Various methods to the thermistor problem with a bulk electrical conductivity

Kutluay S., Bahadir A. R., Ozdes A.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING , cilt.45, sa.1, ss.1-12, 1999 (SCI-Expanded, Scopus) identifier identifier

54. Numerical solution of one-dimensional Burgers equation: explicit and exact-explicit finite difference methods

Kutluay S., Bahadir A. R., Ozdes A.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS , cilt.103, sa.2, ss.251-261, 1999 (SCI-Expanded, Scopus) identifier identifier

55. The numerical solution of one-phase classical Stefan problem

Kutluay S., Bahadir A. R., Ozdes A.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS , cilt.81, sa.1, ss.135-144, 1997 (SCI-Expanded, Scopus) identifier identifier

56. A HEAT-BALANCE INTEGRAL MODEL OF THE THERMISTOR

WOOD A., KUTLUAY S.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER , cilt.38, sa.10, ss.1831-1840, 1995 (SCI-Expanded, Scopus) identifier identifier

57. A heat balance integral solution to Burger’s equation in one space dimension

ÖZDEŞ A., KUTLUAY S., BAHADIR A. R., ŞAHİN A.
Balkan Physics Letters , cilt.4, sa.4, ss.251-256, 1986 (Hakemli Dergi)
Hakemli Bilimsel Toplantılarda Yayımlanmış Bildiriler 17

1. A Robust numerical investigation of the MEW equation with FEM based on Hermite Bspline basis functions

KUTLUAY S., Karakaş A. S., YAĞMURLU N. M.
9th INTERNATIONAL CONFERENCE ON COMPUTATIONAL MATHEMATICS AND ENGINEERING SCIENCES, Diyarbakır, Türkiye, 17 - 19 Mayıs 2025, cilt.1, (Özet Bildiri)

2. THE NEWEST NUMERICAL INVESTIGATION OF THE EQUAL-WIDTH WAVE EQUATION WITH QUINTIC HERMITE B-SPLINE BASIS FUNCTIONS

YAĞMURLU N. M., Karakaş A. S., KUTLUAY S.
9th INTERNATIONAL CONFERENCE ON COMPUTATIONAL MATHEMATICS AND ENGINEERING SCIENCES, Diyarbakır, Türkiye, 17 - 19 Mayıs 2025, cilt.1, (Özet Bildiri)

3. AN APPLICATION OF CUBIC HERMITE COLLOCATION FINITE ELEMENT METHOD ON A MODEL PROBLEM

KUTLUAY S., YAĞMURLU N. M., Karakaş A. S.
10th INTERNATIONAL BLACK SEA COASTLINE COUNTRIES SCIENTIFIC RESEARCH CONFERENCE, Samsun, Türkiye, 7 - 09 Nisan 2024, ss.751-761, (Tam Metin Bildiri)

4. A Robust Septic Hermite Collocation technique for Dirichlet Boundary Condition Heat Conduction Equation

KUTLUAY S., YAĞMURLU N. M., Karakaş A. S.
The 7th International Conference on Computational Mathematics and Engineering Sciences, Elazığ, Türkiye, 20 - 21 Mayıs 2023, (Özet Bildiri)

5. A Robust Quintic Hermite Collocation technique for One-Dimensional Heat Conduction Equation

KUTLUAY S., YAĞMURLU N. M., Karakaş A. S.
The 7th International Conference on Computational Mathematics and Engineering Sciences, Elazığ, Türkiye, 20 Mayıs 2023, (Özet Bildiri)

6. Exact Solutions of Conformable Benjamin Bona Mahony and Zoomeron Equations

YAĞMURLU N. M., KUTLUAY S., KARAAĞAÇ B., ESEN A.
3rd International Conference On Computational Mathematics and Engineering Sciences, 4 - 06 Mayıs 2018, (Özet Bildiri)

7. Exact Solution of Nonlinear Evolution Equations Using Extended Modified Exp-() Method

KARAAĞAÇ B., KUTLUAY S., YAĞMURLU N. M., ESEN A.
3rd International Conference On Computational Mathematics and Engineering Sciences, 4 - 06 Mayıs 2018, (Özet Bildiri)

8. A Novel Outlook: A Study on Some Differential Equation Systems

ESEN A., KARAAĞAÇ B., KUTLUAY S., YAĞMURLU N. M.
3rd International Conference On Computational Mathematics and Engineering Sciences, 4 - 06 Mayıs 2018, (Özet Bildiri)

9. A New Approach To Exact Solutions of Some Partial Differential Equations Based on Sine-Gordon Expansion Method

KARAAĞAÇ B., YAĞMURLU N. M., ESEN A., KUTLUAY S.
3rd International Conference On Computational Mathematics and Engineering Sciences, 4 - 06 Mayıs 2018, (Özet Bildiri)

10. A Fresh Look To Exact Solutions of Some Coupled Equations

Karaagac B., YAĞMURLU N. M., ESEN A., KUTLUAY S.
3rd International Conference on Computational Mathematics and Engineering Sciences (CMES), Girne, Kıbrıs (Kktc), 4 - 06 Mayıs 2018, cilt.22, (Tam Metin Bildiri) identifier

11. Numerical Solutions of Rosenau RLW Equation Using Galerkin Cubic B Spline Finite Element Method

KARAAĞAÇ B., KUTLUAY S., YAĞMURLU N. M.
International Conference: The 9th Dynamical Systems & Applications, Antalya, Türkiye, 20 - 23 Temmuz 2016, (Özet Bildiri)

12. A Numerical Approach to the Rosenau KdV Equation Using Galerkin Cubic Finite Element Method

KARAAĞAÇ B., KUTLUAY S., UÇAR Y.
The 9th Dynamical SystemsApplications Kemer,Goynuk, Antalya, Antalya, Türkiye, 20 - 23 Temmuz 2016, (Özet Bildiri)

13. The Modified Bi Quintic B spline Base Functions An Application to Diffusion Equation

KUTLUAY S., YAĞMURLU N. M.
First International Conference On Analysis And Applied Mathematics, Gümüşhane, Türkiye, 18 - 21 Ekim 2012, ss.128, (Özet Bildiri)

14. A Finite Element Method To Solve The System Of Two Dimensional Burgers Equations

KUTLUAY S., YAĞMURLU N. M., UÇAR Y., TAŞBOZAN O.
International Conference on Nonlinear Differential and Difference Equations: recent Developments and Applications, Antalya, Türkiye, 27 - 30 Mayıs 2014, cilt.1, ss.67, (Tam Metin Bildiri)

15. Numerical Solutions of the Modified Burgers Equation by Cubic B spline Collocation Method

KUTLUAY S., UÇAR Y., YAĞMURLU N. M.
First International Conference On Analysis and Applied Mathematics, Gümüşhane, Türkiye, 18 - 21 Ekim 2012, cilt.1, ss.129, (Özet Bildiri)

16. Stefan problemi için değişken zaman adım yönteminin bir modifikasyonu

KUTLUAY S., BAHADIR A. R., ÖZDEŞ A.
XI. Ulusal Matematik Sempozyumu, Isparta, Türkiye, 7 - 11 Eylül 1998, ss.64, (Özet Bildiri)

17. 1-boyutlu parabolik problemler için bir direkt varyasyonel ardışık yaklaşım yöntemi

ÖZDEŞ A., BAHADIR A. R., KUTLUAY S.
Atatürk Üniversitesi 40. Kuruluş Yıldönümü Matematik Sempozyumu, Erzurum, Türkiye, 20 - 22 Mayıs 1998, ss.154-162, (Tam Metin Bildiri)
Metrikler

Yayın

75

Yayın (WoS)

41

Yayın (Scopus)

39

Atıf (WoS)

843

H-İndeks (WoS)

15

Atıf (Scopus)

889

H-İndeks (Scopus)

16

Atıf (Scholar)

505

H-İndeks (Scholar)

11

Atıf (Diğer Toplam)

1

Proje

2

Tez Danışmanlığı

18