Prof. Dr. YUSUF UÇAR

Yayın Ağı

Makaleler 51

1. A ROBUST METHOD FOR THE NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION USING THE GALERKIN METHOD BASED ON HERMITE B-SPLINE FUNCTIONS

BEYAZIT H., Özer S., UÇAR Y.

Black Sea Journal of Engineering and Science , cilt.9, sa.4, ss.1556-1567, 2026 (TRDizin)

2. GRLW Denkleminin Kübik Hermite B-splayn Kollakasyon Yöntemiyle Sayısal Çözümü

Özer S., UÇAR Y., BEYAZIT H.

Sinop Üniversitesi fen bilimleri dergisi , cilt.11, sa.1, ss.401-423, 2026 (TRDizin)

3. A trigonometric quintic B-spline collocation technique for the fifth-order KdV–Burgers–Fisher equation

Karaagac B., ESEN A., UÇAR Y., YAĞMURLU N. M.

Engineering with Computers , cilt.41, sa.6, ss.4155-4171, 2025 (SCI-Expanded, Scopus)

4. Collocation Finite Element Method for the Fractional Fokker–Planck Equation

Karabenli H., ESEN A., UÇAR Y.

International Journal for Numerical Methods in Fluids , cilt.97, sa.3, ss.224-232, 2025 (SCI-Expanded, Scopus)

5. A numerical aproach to dispersion-dissipation-reaction model: third order KdV-Burger-Fisher equation

ESEN A., Karaagac B., YAĞMURLU N. M., UÇAR Y., Manafian J.

Physica Scripta , cilt.99, sa.8, 2024 (SCI-Expanded, Scopus)

6. A new numerical approach to Gardner Kawahara equation in magneto-acoustic waves in plasma physics

Ucar Y., Yagmurlu N. M., Esen A., Karaagac B.

International Journal for Numerical Methods in Fluids , cilt.95, sa.6, ss.979-991, 2023 (SCI-Expanded, Scopus)

7. A new outlook for analysis of Noyes-Field model for the nonlinear Belousov-Zhabotinsky reaction using operator splitting method

Karaagac B., ESEN A., UÇAR Y., YAĞMURLU N. M.

Computers and Mathematics with Applications , cilt.136, ss.127-135, 2023 (SCI-Expanded, Scopus)

8. Numerical solution of the coupled Burgers equation by trigonometric B-spline collocation method

UÇAR Y., YAĞMURLU N. M., Yiğit M. K.

Mathematical Methods in the Applied Sciences , cilt.46, sa.5, ss.6025-6041, 2023 (SCI-Expanded, Scopus)

9. Numerical approximation to the MEW equation for the single solitary wave and different types of interactions of the solitary waves

Başhan A., Uçar Y., Yağmurlu N. M., Esen A.

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS , sa.28, ss.1-21, 2022 (SCI-Expanded, Scopus)

10. 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)

11. 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)

12. A new perspective for the numerical solution of the Modified Equal Width wave equation

BAŞHAN A., YAĞMURLU N. M., UÇAR Y., ESEN A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES , cilt.44, sa.11, ss.8925-8939, 2021 (SCI-Expanded, Scopus)

13. Numerical solutions of Boussinesq equation using Galerkin finite element method

UÇAR Y., ESEN A., Karaagac B.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS , cilt.37, sa.2, ss.1612-1630, 2021 (SCI-Expanded, Scopus)

14. Finite difference method combined with differential quadrature method for numerical computation of the modified equal width wave equation

Bashan A., YAĞMURLU N. M., UÇAR Y., ESEN A.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS , cilt.37, sa.1, ss.690-706, 2021 (SCI-Expanded, Scopus)

15. Numerical Investigation of Modified Fornberg Whitham Equation

YAĞMURLU N. M., YILDIZ E., UÇAR Y., ESEN A.

Mathematical Sciences and Applications E-Notes , cilt.9, sa.2, ss.81-94, 2021 (TRDizin)

16. Dynamics of modified improved Boussinesq equation via Galerkin Finite Element Method

Karaagac B., UÇAR Y., ESEN A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES , cilt.43, sa.17, ss.10204-10220, 2020 (SCI-Expanded, Scopus)

17. Higher Order Splitting Method for Numerical Solution OfNonlinear Coupled System Viscous Burger’s Equation

YAĞMURLU N. M., UÇAR Y., ÇELİKKAYA İ.

Konuralp Journal of Mathematics , cilt.8, sa.2, ss.234-243, 2020 (Hakemli Dergi)

18. Numerical Solution of Burger’s Type Equation Using Finite Element Collocation method with Strang Splitting

UÇAR Y., YAĞMURLU N. M., ÇELİKKAYA İ.

Mathematical Sciences and Applications E-Notes , cilt.8, sa.1, ss.29-45, 2020 (TRDizin)

19. Collocation Method for the KdV-Burgers-Kuramoto Equation with Caputo Fractional Derivative

YAĞMURLU N. M., UÇAR Y., ESEN A.

Fundamentals of Contemporary Mathematical Sciences , cilt.1, sa.1, ss.1-13, 2020 (Hakemli Dergi)

20. Numerical Approximation of the Combined KdV-mKdV Equation via the Quintic B-Spline Differential Quadrature Method

YAĞMURLU N. M., UÇAR Y., BAŞHAN A.

Adıyaman University Journal of Science , cilt.9, sa.2, ss.386-403, 2019 (TRDizin)

21. A New Perspective on The Numerical Solution for Fractional Klein Gordon Equation

Karaagac B., UÇAR Y., YAĞMURLU N. M., ESEN A.

JOURNAL OF POLYTECHNIC-POLITEKNIK DERGISI , cilt.22, sa.2, ss.443-451, 2019 (ESCI, TRDizin)

22. 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)

23. Operator splitting for numerical solution of the modified Burgers' equation using finite element method

UÇAR Y., YAĞMURLU N. M., CELIKKAYA I.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS , cilt.35, sa.2, ss.478-492, 2019 (SCI-Expanded, Scopus)

24. NUMERICAL SOLUTIONS AND STABILITY ANALYSIS OF MODIFIED BURGERS EQUATION VIA MODIFIED CUBIC B-SPLINE DIFFERENTIAL QUADRATURE METHODS

UÇAR Y., YAĞMURLU N. M., Bashan A.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI , cilt.37, sa.1, ss.129-142, 2019 (ESCI)

25. OPERATOR SPLITTING FOR NUMERICAL SOLUTIONS OF THE RLW EQUATION

YAĞMURLU N. M., UÇAR Y., CELIKKAYA I.

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION , cilt.8, sa.5, ss.1494-1510, 2018 (SCI-Expanded, Scopus)

26. A new perspective for the numerical solutions of the cmKdV equation via modified cubic B-spline differential quadrature method

Bashan A., YAĞMURLU N. M., UÇAR Y., ESEN A.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C , cilt.29, sa.6, 2018 (SCI-Expanded, Scopus)

27. A new perspective for quintic B-spline based Crank-Nicolson-differential quadrature method algorithm for numerical solutions of the nonlinear Schrodinger equation

Bashan A., UÇAR Y., YAĞMURLU N. M., ESEN A.

EUROPEAN PHYSICAL JOURNAL PLUS , cilt.133, sa.1, 2018 (SCI-Expanded, Scopus)

28. Numerical Solutions of the Improved Boussinesq Equation by the Galerkin Quadratic B-Spline Finite Element Method

KARAAĞAÇ B., UÇAR Y., ESEN A.

FILOMAT , cilt.32, sa.16, ss.5573-5583, 2018 (SCI-Expanded, Scopus)

29. NUMERICAL SOLUTIONS FOR THE FOURTH ORDER EXTENDED FISHER-KOLMOGOROV EQUATION WITH HIGH ACCURACY BY DIFFERENTIAL QUADRATURE METHOD

Bashan A., UÇAR Y., YAĞMURLU N. M., ESEN A.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI , cilt.9, sa.3, ss.273-284, 2018 (ESCI)

30. An effective approach to numerical soliton solutions for the Schrodinger equation via modified cubic B-spline differential quadrature method

BAŞHAN A., YAĞMURLU N. M., UÇAR Y., ESEN A.

CHAOS SOLITONS & FRACTALS , cilt.100, ss.45-56, 2017 (SCI-Expanded, Scopus)

31. Numerical Solutions of the Modified Burgers' Equation by Finite Difference Methods

Ucar Y., Yagmurlu N. M., Tasbozan O.

JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS , cilt.13, sa.1, ss.19-30, 2017 (ESCI)

32. 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)

33. A Numerical Solution of the Modified Burgers Equation Using Linearized Finite Difference Methods

UÇAR Y., YAĞMURLU N. M., GÜLBAHAR S., KOSE E. G.

Proceedings of IAM , cilt.5, sa.2, ss.184-195, 2016 (Hakemli Dergi)

34. Numerical solution of the complex modified Korteweg-de Vries equation by DQM

Başhan A., Uçar Y., Yağmurlu N. M., Esen A.

JOURNAL OF PHYSICS: CONFERENCE SERIES , cilt.766, sa.1, ss.1-6, 2016 (Hakemli Dergi)

35. 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)

36. Numerical Solutions of the Sine-Gordon Equation by Collocation Method

TASBOZAN O., YAĞMURLU N. M., UÇAR Y., ESEN A.

Sohag J. Math , cilt.3, sa.1, ss.1-6, 2016 (Hakemli Dergi)

37. Numerical Solutions of the Combined KdV MKdV Equation by a quinic B spline Collocation Method

YAĞMURLU N. M., TAŞBOZAN O., UÇAR Y., ESEN A.

Applied Mathematics& Information Sciences Letters , cilt.4, sa.1, ss.19-24, 2016 (Hakemli Dergi)

38. A Collocation Finite Element Solution for Stefan Problems with Periodic Boundary Conditions

KARABENLI H., UÇAR Y., AKSAN E. N.

FILOMAT , cilt.30, sa.3, ss.699-709, 2016 (SCI-Expanded, Scopus)

39. A B-spline collocation method for solving fractional diffusion and fractional diffusion-wave equations

ESEN A., TASBOZAN O., UÇAR Y., YAĞMURLU N. M.

TBILISI MATHEMATICAL JOURNAL , cilt.8, sa.2, ss.181-193, 2015 (ESCI)

40. A new approach on numerical solutions of the Improved Boussinesq type equation using quadratic B-spline Galerkin finite element method

UÇAR Y., KARAAGAC B., ESEN A.

APPLIED MATHEMATICS AND COMPUTATION , cilt.270, ss.148-155, 2015 (SCI-Expanded, Scopus)

41. Numerical solution of some fractional partial differential equations using collocation finite element method

UÇAR Y., YAĞMURLU N. M., Tasbozan O., ESEN A.

Progress in Fractional Differentiation and Applications , cilt.1, sa.3, ss.157-164, 2015 (Scopus)

42. Numerical solutions of the MRLW equation by cubic B-spline Galerkin finite element method

Karakoc S. B. G., UÇAR Y., YAGMURLU N. M.

KUWAIT JOURNAL OF SCIENCE , cilt.42, sa.2, ss.141-159, 2015 (SCI-Expanded, Scopus)

43. Solving Fractional Diffusion And Fractional Diffusion Wave Equations By Petrov Galerkin Finiyte Element Method

ESEN A., UÇAR Y., YAĞMURLU N. M., TAŞBOZAN O.

TWMS J. App. Eng. Math. , cilt.4, sa.2, ss.155-168, 2014 (Hakemli Dergi)

44. 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)

45. 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)

46. The Solution of Advection Diffusion Equation by the Finite Elements Method

BULUT H., AKTURK T., UÇAR Y.

International Journal of Basic & Applied Sciences IJBAS-IJENS , cilt.13, sa.1, ss.88-97, 2013 (Hakemli Dergi)

47. 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)

48. A Numerical Solution to Fractional Diffusion Equation for Force-Free Case

TASBOZAN O., ESEN A., YAĞMURLU N. M., UÇAR Y.

ABSTRACT AND APPLIED ANALYSIS , 2013 (SCI-Expanded, Scopus)

49. Numerical approximation to a solution of the modified regularized long wave equation using quintic B-splines

KARAKOÇ S. B. G., YAĞMURLU N. M., UÇAR Y.

BOUNDARY VALUE PROBLEMS , 2013 (SCI-Expanded, Scopus)

50. A Galerkin Finite Element Method to Solve Fractional Diffusion and Fractional Diffusion-Wave Equations

ESEN A., UÇAR Y., Yagmurlu N. M., TASBOZAN O.

MATHEMATICAL MODELLING AND ANALYSIS , cilt.18, sa.2, ss.260-273, 2013 (SCI-Expanded, Scopus)

51. Different Linearization Techniques for the Numerical Solution of the MEW Equation

KARAKOÇ S. B. G., UÇAR Y., YAĞMURLU N. M.

Selçuk Journal of Applied Mathematics , cilt.13, sa.2, ss.43-62, 2012 (Hakemli Dergi)

Hakemli Bilimsel Toplantılarda Yayımlanmış Bildiriler 30

1. NUMERICAL SOLUTION of GRLW EQUATION by CUBIC HERMITE B-SPLINE COLLOCATION METHOD

ÖZER S., UÇAR Y., BEYAZIT H.

9 th International Conference on Computational Mathematics and Engineering Sciences (CMES-2025), Diyarbakır, Türkiye, 17 - 19 Mayıs 2025, (Özet Bildiri)

2. A COMPARATIVE STUDY OF FINITE ELEMENT METHODS WITH CUBIC AND QUINTIC BASIS FUNCTIONS FOR THE SMCH EQUATION

KARABENLİ H., UÇAR Y., AKSAN E. N., ESEN A.

8 th International Conference on Computational Mathematics and Engineering Sciences (CMES-2024), Şanlıurfa, Türkiye, 17 - 19 Mayıs 2024, (Özet Bildiri)

3. A Study On Numerical Solution of the Regularized Long Wave Equation

Özer S., Uçar Y., Özçelik D.

THE EIGHTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL MATHEMATICS AND ENGINEERING SCIENCES, Şanlıurfa, Türkiye, 17 - 19 Mayıs 2024, ss.40, (Özet Bildiri)