Prof. Dr. G&#220;LNİHAL MERAL

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS , cilt.23, sa.1, ss.1-36, 2026 (SCI-Expanded, Scopus)

2. A DQM–Picard iterative approach for solving generalized Emden–Fowler equations

Gümüşhane Üniversitesi Fen Bilimleri Dergisi , cilt.16, sa.1, ss.1-10, 2026 (Scopus, TRDizin)

3. Random Analysis of a Fractional System Modeling Acid-Mediated Tumor Cell Invasion

Meral G., Yazır T., Bekiryazıcı Z., Anaç H.

MATHEMATICAL MODELLING AND CONTROL , sa.--, ss.1-13, 2026 (ESCI)

4. Mathematical modeling and analysis for Michaelis–Menten kinetics

Meral G., Altıntan D.

JOURNAL OF MATHEMATICAL CHEMISTRY , cilt.63, sa.8, ss.1753-1766, 2025 (SCI-Expanded, Scopus)

5. MATHEMATICAL ANALYSIS AND NUMERICAL SIMULATIONS FOR A NONLINEAR KLEIN GORDON EQUATION IN AN EXTERIOR DOMAIN

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS , cilt.73, sa.3, ss.833-844, 2024 (ESCI)

6. DRBEM-FDM solution of a chemotaxis–haptotaxis model for cancer invasion

Journal of Computational and Applied Mathematics , cilt.354, ss.299-309, 2019 (SCI-Expanded, Scopus) Sürdürülebilir Kalkınma

7. MATHEMATICAL ANALYSIS AND NUMERICAL SIMULATIONS FOR THE CANCER TISSUE INVASION MODEL

Meral G., Yamanlar I. C.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS , cilt.68, sa.1, ss.371-391, 2019 (ESCI, TRDizin)

8. Numerical Solution of Drinfel’d Sokolov Wilson System Using Differential Quadrature and Finite Difference Methods

MERAL G.

Karaelmas Science and Engineering Journal , cilt.9, sa.2, ss.232-236, 2019 (TRDizin)

9. Mathematical analysis and numerical simulations for the HSP70 synthesis model

Meral G., PELEN N. N.

Journal of Mathematical Chemistry , cilt.56, sa.10, ss.3089-3114, 2018 (SCI-Expanded, Scopus)

10. DRBEM solution of the acid-mediated tumour invasion model with time-dependent carrying capacities

European Journal of Computational Mechanics , cilt.26, sa.4, ss.430-442, 2017 (ESCI, Scopus)

11. A multiscale model for acid mediated tumor invasion Therapy approaches

MERAL G., Stinner C., Surulescu C.

Journal of Coupled Systems and Multiscale Dynamics , cilt.3, sa.2, ss.135-142, 2015 (Hakemli Dergi)

12. On a multiscale model involving cell contractivity and its effects on tumor invasion

Meral G., Stinner C., Surulescu C.

Discrete and Continuous Dynamical Systems - Series B , cilt.20, sa.1, ss.189-213, 2015 (SCI-Expanded, Scopus)

13. A multiscale model for pH-tactic invasion with time-varying carrying capacities

Stinner C., Surulescu C., Meral G.

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications) , cilt.80, sa.5, ss.1300-1321, 2014 (SCI-Expanded, Scopus)

14. Mathematical modelling, analysis and numerical simulations for the influence of heat shock proteins on tumour invasion

Journal of Mathematical Analysis and Applications , cilt.408, sa.2, ss.597-614, 2013 (SCI-Expanded, Scopus)

15. Differential quadrature solution of heat- and mass-transfer equations

Applied Mathematical Modelling , cilt.37, sa.6, ss.4350-4359, 2013 (SCI-Expanded, Scopus)

16. Mathematical Analysis and Numerical Simulations for a System Modeling Acid Mediated Tumor Cell Invasion

MAERKL C., MERAL G., Surulescu C.

International Journal of Analysis , cilt.2013, sa.1, ss.1-15, 2013 (Hakemli Dergi)

17. The comparison between the DRBEM and DQM solution of nonlinear reaction-diffusion equation

Communications in Nonlinear Science and Numerical Simulation , cilt.16, sa.10, ss.3990-4005, 2011 (SCI-Expanded, Scopus)

18. The differential quadrature solution of nonlinear reaction-diffusion and wave equations using several time-integration schemes

International Journal for Numerical Methods in Biomedical Engineering , cilt.27, sa.4, ss.485-497, 2011 (SCI-Expanded, Scopus)

19. DRBEM solution of exterior nonlinear wave problem using FDM and LSM time integrations

Engineering Analysis with Boundary Elements , cilt.34, sa.6, ss.574-580, 2010 (SCI-Expanded, Scopus)

20. Differential quadrature solution of nonlinear reaction-diffusion equation with relaxation-type time integration

International Journal of Computer Mathematics , cilt.86, sa.3, ss.451-463, 2009 (SCI-Expanded, Scopus)

21. Solution of the nonlinear diffusion equation using the dual reciprocity boundary element method and the relaxation type time integration scheme

WIT Transactions on Modelling and Simulation , cilt.39, ss.133-140, 2005 (Hakemli Dergi)

Hakemli Bilimsel Toplantılarda Yayımlanmış Bildiriler 26

1. A Comparative Analysis of FDM, Linear FEM, and Quadratic FEM for the Troesch Problem

Meral G., Bilal B.

ICNAAM 2026 24th International Conference of Numerical Analysis and Applied Mathematics, Heraklion, Yunanistan, 15 - 21 Eylül 2026, ss.1-5, (Tam Metin Bildiri)

2. HBV Hücre Içi Dinamiklerini Içeren Matematiksel Bir Model

Meral G., Utkan K. N.

17. Ankara Matematik Günleri, Ankara, Türkiye, 18 - 19 Haziran 2026, ss.59, (Özet Bildiri)

3. Troesch ve Bratu Problemlerinin Sonlu Farklar ve Newton-Raphson Yöntemi (SFNR) ile Sayısal Çözümü

Meral G., Bilal B.

17. Ankara Matematik Günleri, Ankara, Türkiye, 18 - 19 Haziran 2026, ss.74, (Özet Bildiri)

4. From Epidemic Models to Within-Host Dynamics: A Mathematical Perspective on HBV

Meral G., Utkan K. N.

Computational Mathematics Approaches in Science and Engineering Workshop, Ankara, Türkiye, 08 Mayıs 2026, ss.8, (Özet Bildiri)

5. Hepatit B Virüs Dinamiklerini İçeren Genişletilmiş Matematiksel Model

Meral G., Utkan K. N.

16. Ankara Matematik Günleri, Ankara, Türkiye, 19 - 20 Haziran 2025, ss.1, (Özet Bildiri)

6. A New Study on a Random Conformable Fractional System Modeling Acid-Mediated Tumor Cell Invasion

Meral G., Yazır T., Bekiryazıcı Z., Anaç H.

Approximation Theory and Special Functions ATSF 2024 Conference-8-th Series, Ankara, Türkiye, 4 - 06 Eylül 2024, ss.174, (Özet Bildiri)

7. On the DRBEM-FDM Solution of a Cancer Invasion Model

Workshop in Honor of Münevver Tezer-Sezgin's 67-th Birthday, Ankara, Türkiye, 19 - 20 Nisan 2019, ss.19, (Özet Bildiri) Sürdürülebilir Kalkınma

8. Existence, Uniqueness and Permanence of the HSP70 synthesis model

Meral G., Pelen N. N.

International Conference on Applied Mathematics, Modeling and Life Sciences, İstanbul, Türkiye, 3 Mayıs - 05 Ekim 2018, (Özet Bildiri)

9. DQM Solution of Hirota-Satsuma Coupled KdV System

3rd International Conference on Engineering Technology and Applied Sciences, Skopje, Makedonya, 17 - 21 Temmuz 2018, ss.121-124, (Tam Metin Bildiri)

10. Heroines in Science History

II.International Women’s Congress, Milan, İtalya, 9 - 11 Mayıs 2018, ss.45, (Özet Bildiri)

11. Numerical Solution of a Cancer Invasion Model Using DRBEM and FDM

17-th International Conference Computational and Mathematical Methods in Science and Engineering, Cadiz, İspanya, 4 - 08 Temmuz 2017, ss.1457-1466, (Tam Metin Bildiri) Sürdürülebilir Kalkınma

12. Dual Reciprocity Boundary Element Solution of a System Modeling Acid Mediated Tumor Cell Invasion

International Conference on Boundary Element and Meshless Techniques, Ankara, Türkiye, 11 - 13 Temmuz 2016, ss.99-106, (Tam Metin Bildiri)

13. On a multiscale model involving cell contractivity and its effects on tumor invasion

Stinner C., Meral G., Surulescu C., Winkler M.

The 10th AIMS Conference on Dynamical Systems Differential Equations and Applications, Madrid, İspanya, 7 - 11 Temmuz 2014, ss.40, (Özet Bildiri)

14. Kanser Hücre İstilası İçin Matematiksel Modeller

TKMD 1. Kadın Matematikçiler Çalıştayı, Kocaeli, Türkiye, 2 - 04 Mayıs 2014, ss.5, (Özet Bildiri) Sürdürülebilir Kalkınma

15. Mathematical analysis and numerical simulations for a system modeling acid-mediated tumor cell invasion

Märkl C., Meral G., Surulescu C.

International Conference Models in Population Dynamics and Ecology, Osnabrück, Almanya, 26 - 29 Ağustos 2013, ss.28, (Özet Bildiri)

16. On a multiscale Model Involving Cell Contractivity and its Effects on Tumor Invasion

Meral G., Stinner C., Surulescu C.

International Conference Models in Population Dynamics and Ecology, Osnabrück, Almanya, 26 - 29 Ağustos 2013, ss.28, (Özet Bildiri)

17. Mathemetical Modelling, Analysis and Numerical Simulations for the Influence of Heat Shock Proteins on Tumour Invasion

Mathways into Cancer, Ciudad-Real, İspanya, 4 - 06 Haziran 2012, ss.76, (Özet Bildiri)

18. Isı Şok Proteinlerinin Tümör İstilasındaki Etkisinin Matematiksel Modellemesi

7. Ankara Matematik Günleri, Ankara, Türkiye, 31 Mayıs - 01 Haziran 2012, ss.111, (Tam Metin Bildiri)

19. DRBEM Solution of Exterior Nonlinear Wave Problem Using LSM Time Integration

Meral G., Tezer M.

FEM & BEM Workshop, Ankara, Türkiye, 26 Mayıs 2012, ss.1, (Özet Bildiri)

20. Mathematical Modeling and Numerical Simulations for the Influence of Heat Shock Proteins on Tumour Invasion

European Conference on Mathematical and Theoretical Biology, Krakow, Polonya, 28 Haziran - 02 Temmuz 2011, ss.652, (Özet Bildiri)

21. On the DRBEM and DQM solutions of nonlinear reaction-diffusion equations with FEM time integration

Tezer M., Meral G.

International Congress on Computational and Applied Mathematics, Leuven, Belçika, 5 - 09 Temmuz 2010, ss.1, (Özet Bildiri)

22. Solution of Density Dependent Nonlinear Reaction-Diffusion Equation Using Differential Quadrature Method

International Conference on Computational Mathematics, Tokyo, Japonya, 26 - 28 Mayıs 2010, ss.1178-1183, (Tam Metin Bildiri)

23. Diferensiyel kareleme metodu ve farklı zaman integrasyon yöntemleri ile doğrusal olmayan reaksiyon-difüzyon denkleminin çözümü

Meral G., Tezer M.

4. Ankara Matematik Günleri, Ankara, Türkiye, 4 - 05 Temmuz 2009, ss.15, (Özet Bildiri)

24. Solution of nonlinear reaction-diffusion equation by using dual reciprocity boundary element method with finite difference or least squares method

Meral G., Tezer M.

International Conference on Boundary Element Techniques IX, Sevilla, İspanya, 9 - 11 Temmuz 2008, ss.317-321, (Tam Metin Bildiri)

25. Solution of the nonlinear scalar exterior wave equation using the dual reciprocity boundary element method

International Association for Boundary Element Methods 2006 Conference, Graz, Avusturya, 10 - 12 Temmuz 2006, ss.237-240, (Özet Bildiri)

26. Solution of the nonlinear diffusion equation using the dual reciprocity boundary element method and the relaxation type time integration scheme

27-th World Conference on Boundary Elements and other Mesh Reduction Methods, Florida, Amerika Birleşik Devletleri, 15 - 17 Mart 2005, ss.133-140, (Tam Metin Bildiri)

Kitaplar 1

1. Heroines in Science History