Doç. Dr. ŞUAYİP TOPRAKSEVEN

1. Adaptive Physics-Informed Neural Networks for Singularly Perturbed Convection-Diffusion Problems

Toprakseven Ş.

Türkiye Mathematical Sciences , cilt.2, sa.2, ss.2-12, 2025 (Hakemli Dergi)

2. WG-FEM With ADI-Type Splitting: A High-Order Approach for Two-Parameter Singularly Perturbed 2D Parabolic Problems on Bakhvalov Mesh

Kumar N., Toprakseven S., Singh J.

Numerical Methods for Partial Differential Equations , cilt.41, sa.5, 2025 (SCI-Expanded, Scopus)

3. A Dimensionally Reduced Weak Galerkin FEM for Solving 2D Multi-Term Time-Fractional Diffusion Equation

Seal A., Natesan S., TOPRAKSEVEN Ş.

Numerical Methods for Partial Differential Equations , cilt.41, sa.5, 2025 (SCI-Expanded, Scopus)

4. Anisotropic error analysis of weak Galerkin finite element method for singularly perturbed biharmonic problems

Raina A., Natesan S., TOPRAKSEVEN Ş.

Mathematics and Computers in Simulation , cilt.229, ss.203-221, 2025 (SCI-Expanded, Scopus)

5. An efficient operator splitting weak Galerkin method for singularly perturbed 2D parabolic PDEs

Raina A., Natesan S., TOPRAKSEVEN Ş.

Numerical Algorithms , 2025 (SCI-Expanded, Scopus)

6. A Novel ADI-Weak Galerkin Method for Singularly Perturbed Two-Parameter 2D Parabolic Pdes

Raina A., Natesan S., TOPRAKSEVEN Ş.

Numerical Methods for Partial Differential Equations , cilt.41, sa.1, 2025 (SCI-Expanded, Scopus)

7. An ADI type operator splitting WG-FEM for 2D nonlinear unsteady singularly perturbed problem

Kumar N., Singh J., TOPRAKSEVEN Ş., Jiwari R.

Numerical Algorithms , 2025 (SCI-Expanded, Scopus)

8. An efficient weak Galerkin FEM for third-order singularly perturbed convection-diffusion differential equations on layer-adapted meshes

TOPRAKSEVEN Ş., Srinivasan N.

Applied Numerical Mathematics , cilt.204, ss.130-146, 2024 (SCI-Expanded, Scopus)

9. A weak Galerkin finite element method for singularly perturbed problems with two small parameters on Bakhvalov-type meshes

Toprakseven Ş., Kaushik A., Sharma M.

Numerical Algorithms , cilt.97, sa.2, ss.727-751, 2024 (SCI-Expanded, Scopus)

10. An adaptive mesh generation and higher-order difference approximation for the system of singularly perturbed reaction–diffusion problems

Kaushik A., Gupta A., Jain S., TOPRAKSEVEN Ş., Sharma M.

Partial Differential Equations in Applied Mathematics , cilt.11, 2024 (Scopus)

11. A Crank-Nicolson WG-FEM for unsteady 2D convection-diffusion equation with nonlinear reaction term on layer adapted mesh

Kumar N., TOPRAKSEVEN Ş., Singh Yadav N., Yuan J.

Applied Numerical Mathematics , cilt.201, ss.322-346, 2024 (SCI-Expanded, Scopus)

12. A Dimensional-Splitting Weak Galerkin Finite Element Method for 2D Time-Fractional Diffusion Equation

Seal A., Natesan S., Toprakseven Ş.

Journal of Scientific Computing , cilt.98, sa.3, 2024 (SCI-Expanded, Scopus)

13. A numerical method for singularly perturbed convection–diffusion–reaction equations on polygonal meshes

Kumar N., Toprakseven Ş., Jiwari R.

Computational and Applied Mathematics , cilt.43, sa.1, 2024 (SCI-Expanded, Scopus)

14. A weak Galerkin finite element method for parabolic singularly perturbed convection-diffusion equations on layer-adapted meshes

TOPRAKSEVEN Ş., Dinibutun S.

Electronic Research Archive , cilt.32, sa.8, ss.5033-5066, 2024 (SCI-Expanded, Scopus)

15. Error analysis of a weak Galerkin finite element method for singularly perturbed differential-difference equations

Toprakseven Ş., Tao X., Hao J.

Journal of Difference Equations and Applications , cilt.30, sa.4, ss.435-464, 2024 (SCI-Expanded, Scopus)

16. On q Sturm Liouville Operator with Periodic Boundary Conditions

Cabri O., Toprakseven Ş.

Contemporary Mathematics (Singapore) , cilt.5, sa.4, ss.4309-4322, 2024 (ESCI, Scopus)

17. Optimal order uniform convergence of weak Galerkin finite element method on Bakhvalov-type meshes for singularly perturbed convection dominated problems

Toprakseven Ş.

Hacettepe Journal of Mathematics and Statistics , cilt.52, sa.4, ss.850-875, 2023 (SCI-Expanded, Scopus)

18. Lyapunov-type inequality for an anti-periodic fractional boundary value problem of the riesz-caputo derivative

Toprakseven Ş., Bengi R., ZEREN Y.

Sigma Journal of Engineering and Natural Sciences , cilt.41, sa.4, ss.807-811, 2023 (ESCI, Scopus)

19. The Existence of Positive Solutions for the Caputo-Fabrizio Fractional Boundary Value Problems at Resonance

Toprakseven Ş.

Turkish Journal of Mathematics and Computer Science , cilt.15, sa.1, ss.71-78, 2023 (Scopus, TRDizin)

20. Error analysis of a weak Galerkin finite element method for two-parameter singularly perturbed differential equations in the energy and balanced norms

Toprakseven Ş., Zhu P.

Applied Mathematics and Computation , cilt.441, 2023 (SCI-Expanded, Scopus)

21. Existence of solutions for fractional boundary value problems with Riesz space derivative and nonlocal conditions

Toprakseven Ş.

Studia Universitatis Babes-Bolyai Mathematica , cilt.68, sa.4, ss.701-715, 2023 (ESCI, Scopus)

22. A LYAPUNOV–TYPE INEQUALITY FOR A CLASS OF HIGHER–ORDER FRACTIONAL BOUNDARY VALUE PROBLEMS

Toprakseven Ş.

Journal of Mathematical Inequalities , cilt.17, sa.2, ss.435-445, 2023 (SCI-Expanded, Scopus)

23. Error estimations of a weak Galerkin finite element method for a linear system of ℓ ≥ 2 coupled singularly perturbed reaction-diffusion equations in the energy and balanced norms

Toprakseven Ş., Dinibutun S.

AIMS Mathematics , cilt.8, sa.7, ss.15427-15465, 2023 (SCI-Expanded, Scopus)

24. A MODIFIED WEAK GALERKIN FINITE ELEMENT METHOD FOR SINGULARLY PERTURBED PARABOLIC CONVECTION-DIFFUSION-REACTION PROBLEMS

Toprakseven Ş., Gao F.

Journal of Computational Mathematics , cilt.41, sa.6, ss.1246-1280, 2023 (SCI-Expanded, Scopus)

25. A parameter-uniform weak Galerkin finite element method for a coupled system of singularly perturbed reaction-diffusion equations

Toprakseven Ş., Zhu P.

Filomat , cilt.37, sa.13, ss.4351-4374, 2023 (SCI-Expanded, Scopus)

26. On The Solutions of Fractional Boundary Value Problems for a Combined Caputo Fractional Differential Equations

Toprakseven Ş.

Contemporary Mathematics (Singapore) , cilt.4, sa.2, ss.202-216, 2023 (Scopus)

27. A high-order stabilizer-free weak Galerkin finite element method on nonuniform time meshes for subdiffusion problems

Toprakseven Ş., Dinibutun S.

AIMS Mathematics , cilt.8, sa.12, ss.31022-31049, 2023 (SCI-Expanded, Scopus)

28. A weak Galerkin finite element method on temporal graded meshes for the multi-term time fractional diffusion equations

Toprakseven Ş.

Computers and Mathematics with Applications , cilt.128, ss.108-120, 2022 (SCI-Expanded, Scopus)

29. Optimal order uniform convergence in energy and balanced norms of weak Galerkin finite element method on Bakhvalov-type meshes for nonlinear singularly perturbed problems

Toprakseven Ş.

Computational and Applied Mathematics , cilt.41, sa.8, 2022 (SCI-Expanded, Scopus)

30. Superconvergence of a modified weak Galerkin method for singularly perturbed two-point elliptic boundary-value problems

Toprakseven Ş.

Calcolo , cilt.59, sa.1, 2022 (SCI-Expanded, Scopus)

31. Error analysis of an extended discontinuous galerkin method for highly-oscillatory problems

French D., Vaughan B., Toprakseven Ş.

Sigma Journal of Engineering and Natural Sciences , cilt.39, ss.64-73, 2021 (ESCI, Scopus)

32. On the Solutions of the Higher Order Fractional Differential Equations of Riesz Space Derivative with Anti-Periodic Boundary Conditions

Toprakseven Ş.

COMMUNICATIONS IN ADVANCED MATHEMATICAL SCIENCES , cilt.4, sa.4, ss.171-179, 2021 (Hakemli Dergi)

33. A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients

Toprakseven Ş.

Applied Numerical Mathematics , cilt.168, ss.1-12, 2021 (SCI-Expanded, Scopus)

34. Solvability of Fractional Boundary Value Problems for a Combined Caputo Derivative

Toprakseven Ş.

Konuralp Journal of Mathematics , cilt.9, sa.1, ss.119-126, 2021 (Scopus)

35. Existence and uniqueness of solutions to anti-periodic Riezs-Caputo impulsive fractional boundary value problems

Toprakseven Ş.

Advanced Studies: Euro-Tbilisi Mathematical Journal , cilt.14, sa.1, ss.71-82, 2021 (Scopus)

36. POSITIVE SOLUTIONS FOR TWO-POINT CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATIONS BY MONOTONE ITERATIVE SCHEME

Toprakseven Ş.

Turkish World Mathematical Society Journal of Applied and Engineering Mathematics , cilt.11, sa.1, ss.289-301, 2021 (ESCI, Scopus)

37. Existence and uniqueness of solutions to Riesz-Caputo impulsive fractional boundary value problems

Toprakseven Ş.

Journal of Interdisciplinary Mathematics , cilt.24, sa.8, ss.2071-2086, 2021 (ESCI, Scopus)

38. Uniform convergent modified weak Galerkin method for convection-dominated two-point boundary value problems

Toprakseven Ş., Zhu P.

Turkish Journal of Mathematics , cilt.45, sa.6, ss.2703-2730, 2021 (SCI-Expanded, Scopus, TRDizin)

39. A SPACE-TIME DISCONTINUOUS GALERKIN METHOD FOR LINEAR HYPERBOLIC PDEíS WITH HIGH FREQUENCIES

toprakseven s.

Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics , cilt.69, sa.1, ss.213-231, 2020 (ESCI, TRDizin)

40. On Lyapunov-type inequalities for boundary value problems of fractional Caputo-Fabrizio derivative

Toprakseven Ş.

Turkish Journal of Mathematics , cilt.44, sa.4, ss.1362-1375, 2020 (SCI-Expanded, Scopus, TRDizin)

41. Hartman–wintner and lyapunov-type inequalities for high order fractional boundary value problems

Toprakseven Ş.

Filomat , cilt.34, sa.7, ss.2273-2281, 2020 (SCI-Expanded, Scopus)

42. The Existence and Uniqueness of Initial-Boundary Value Problems of the Fractional Caputo-Fabrizio Differential Equations

Toprakseven Ş.

Universal Journal of Mathematics and Applications , cilt.2, sa.2, ss.100-106, 2019 (Scopus)

43. Conformable Kesirli Diferansiyel Denklemlerinin Taylor ve Sonlu Farklar Metodu ile Sayısal Çözümleri

toprakseven s.

Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi , cilt.23, sa.3, ss.850-863, 2019 (TRDizin)

44. THE EXISTENCE of POSITIVE SOLUTIONS and A LYAPUNOV TYPE INEQUALITY for BOUNDARY VALUE PROBLEMS of the FRACTIONAL CAPUTO-FABRIZIO DIFFERENTIAL EQUATIONS

Toprakseven Ş.

Sigma Journal of Engineering and Natural Sciences , cilt.37, sa.4, ss.1129-1137, 2019 (Scopus)

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