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Dr.Öğr.Üyesi Burhan SELÇUK |
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Çalışma Alanları |
Diferensiyel Denklemler, Paralel ve Dağıtık Sistemler. |
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Ünvan ve Görevler |
- Yrd. Doç. Dr, Karabük Üniversitesi, 2014 -
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- Arş. Gör, Karabük Üniversitesi, 2009 - 2014
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Eğitim |
Lisans |
İnönü Üniversitesi, Eğitim Fakültesi, Matematik Öğretmenliği, 1999. |
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Yüksek Lisans |
Gazi Üniversitesi, Fen Bilimleri Enstitüsü, Matematik, 2006. |
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Doktora |
Ankara Üniversitesi, Fen Bilimleri Enstitüsü, Matematik, 2014. |
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Tezler |
Yüksek Lisans |
Parçali Sabit Katsayili Hill Denkleminin Kararsizlik Araliklari Üzerine |
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Doktora |
Bir Parabolik Denklemin Çözümlerinin Sönümü |
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Yayınlar |
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SCI, SCIE, SSCI Kapsamındaki Uluslararası Hakemli Dergilerde Yayınlanmış Makaleler |
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- B. Selcuk, Blow up for non-Newtonian equations with two nonlinear sources, HJMS, Vol. 50 (2) (2021), 541 – 548.
- M. A. Beauregard, B. Selcuk, Quenching estimates for a non-Newtonian filtration equation with singular boundary conditions, http://arxiv.org/abs/1907.03796v1.
- B. Selcuk "Quenching behavior of a semilinear reaction-diffusion system with singular boundary condition" Turkish Journal of Mathematics (2016) 40: 166 – 180.
- Boonklurb, R.; Treeyaprasert, T.; Wanna, A.-A. Simultaneous and Non-Simultaneous Quenching for a System of Multi-Dimensional Semi-Linear Heat Equations. Symmetry 2020, 12, 2075.
- X Zhu and Y. Ge, Adaptive High-Order Finite Difference Analysis of 2D Quenching-Type Convection-Reaction-Diffusion Equation, Advances in Mathematical Physics, Volume 2020, Article ID 3650703, 19 pages, doi: 10.1155/2020/3650703.
- K. B. Edja, K. N"guessan, B. JC Koua, K. A. Toure, Numerical Quenching for Heat Equations with Coupled Nonlinear Boundary Flux, International Journal of Analysis and Applications, Volume 17, Number 6 (2019), 1034-1051.
- K. B. Edja, K. A. Toure, B, JC, Koua, Numerical quenching of a heat equation with nonlinear boundary conditions, J. Nonlinear Sci. Appl., 13 (2020), 65–74.
- B. Selcuk, N. Ozalp "Quenching behavior of semilinear heat equations with singular boundary conditions", Electron. J. Diff. Equ., Vol. 2015 (2015), No. 311, pp. 1-13.
- F. Jones and H. Yang, "A Comparative Study of the Numerical Approximations of the Quenching Time for a Nonlinear Reaction-Diffusion Equation", Fundamental Journal of Mathematics and Applications, 3 (2) (2020) 144-152.
- Yang, Y. Quenching Phenomenon for A Degenerate Parabolic Equation with a Singular Boundary Flux. J Dyn Control Syst (2020). https://doi.org/10.1007/s10883-020-09494-2
- N. Ozalp, B. Selcuk "Blow up and quenching for a problem with nonlinear boundary conditions", Electron. J. Diff. Equ., Vol. 2015 (2015), No. 192, pp. 1-11.
- X. Zhu, H. Rui, "High-order compact difference scheme of 1D nonlinear degenerate convection–reaction–diffusion equation with adaptive algorithm", April 2019, Numerical Heat Transfer Fundamentals 75(192):1-24.
- K. B. Edja, K. A. Toure, B. JC. Koua, Numerical Blow-up for A Heat Equation with Nonlinear Boundary Conditions, Journal of Mathematics Research, Vol. 10, No. 5; 2018.
- Y. Yang, Quenching phenomenon for a non-Newtonian filtration equation with singular boundary flux,
Boundary Value Problems (Springer) (2015) 2015:233.
- N. Ozalp, B. Selcuk “The quenching behavior of a nonlinear parabolic equation with a singular boundary condition”, Hacettepe Journal of Mathematics and Statistics, Volume 44 (3) (2015), 615 – 621.
- X. Dai, C. Yang, S. Huang, F. Wu, Quenching Time Estimates for Semilinear Parabolic Equations Controlled by Two Absorption Sources in Control System, J. Part. Diff. Eq., Vol. 33, No. 1, pp. 39-47, March 2020.
- Lihong Cai and Zejian Cui, The Quenching Behavior of a Semilinear Parabolic Equation with a Singular Boundary Outflux, Global Journal of Pure and Applied Mathematics, Volume 16, Number 2 (2020), pp. 261-269.
- L. Zhu, "The quenching behavior of a quasilinear parabolic equation with double singular sources", Comptes Rendus Mathematique, Volume 356, Issue 7, July 2018, Pages 725-731.
- Y. Yang, Quenching phenomenon for a non-Newtonian filtration equation with singular boundary flux,
Boundary Value Problems (Springer) (2015) 2015:233.
- B. Selcuk, N. Ozalp "The quenching behavior of a semilinear heat equation with a singular boundary outflux" Quarterly of Applied Mathematics, Volume LXXII Number 4 (2014) 747-752.
- X Zhu and Y. Ge, Adaptive High-Order Finite Difference Analysis of 2D Quenching-Type Convection-Reaction-Diffusion Equation, Advances in Mathematical Physics, Volume 2020, Article ID 3650703, 19 pages, doi: 10.1155/2020/3650703.
- X. Dai, C. Yang, S. Huang, F. Wu, Quenching Time Estimates for Semilinear Parabolic Equations Controlled by Two Absorption Sources in Control System, J. Part. Diff. Eq., Vol. 33, No. 1, pp. 39-47, March 2020.
- Lihong Cai and Zejian Cui, The Quenching Behavior of a Semilinear Parabolic Equation with a Singular Boundary Outflux, Volume 16, Number 2 (2020), pp. 261-269.
- K. B. Edja, K. A. Toure, B, JC, Koua, Numerical quenching of a heat equation with nonlinear boundary conditions, J. Nonlinear Sci. Appl., 13 (2020), 65–74.
- Z. JIA, Z. YANG, C. WANG, NON-SIMULTANEOUS QUENCHING IN A SEMILINEAR PARABOLIC SYSTEM WITH MULTI-SINGULAR REACTION TERMS, Electronic Journal of Differential Equations, Vol. 2019 (2019), No. 100, pp. 1–13.
- X. He and Z. Cui, "The Quenching for a Nonlinear Diffusion Equation with Nonlinear Singular Boundary Condition" Global Journal of Pure and Applied Mathematics. ISSN 0973-1768 Volume 14, Number 2 (2018), pp. 315-324.
- L. Zhu, "The quenching behavior of a quasilinear parabolic equation with double singular sources", Comptes Rendus Mathematique, Volume 356, Issue 7, July 2018, Pages 725-731.
- Y. Yang, Finite time quenching for a nonlinear diffusion equation with
singular boundary flux, IOP Conf. Series: Journal of Physics: Conf. Series 814 (2017) 012015.
- Z. Jia, Z. Yang, “Quenching Behavior for a Nonlinear Parabolic Equation with Nonlinear Boundary Flux” British Journal of Mathematics & Computer Science, 18(5): 1-9, 2016.
- Y. Yang, Quenching phenomenon for a non-Newtonian filtration equation with singular boundary flux,
Boundary Value Problems (Springer) (2015) 2015:233.
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Diğer Uluslararası Hakemli Dergilerde Yayınlanmış Makaleler |
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- B. Selcuk,_Quenching for a reaction-diffusion equation with weak singularities, JAEM, Accepted.
- B. Selcuk "Quenching for porous medium equations" Tamkang Journal of Mathematics, Accepted. (ESCI)
- B. Selcuk, Ayşe Nur A. TANKÜL, A. DÜNDAR , Z. AKKUŞ , M. ARSLAN " Designing a New Hybrid Cryptographic Model using Coordinate Axes", Anatolian Science - Journal of Computer Science, 5 (1) 31-41.
- Ayşe Nur A. TANKÜL, B. Selcuk, "On Hamiltonian Properties of Honeycomb Meshes", Anatolian Science - Journal of Computer Science, (2019) 29-37.
- B. Selcuk, Ayşe Nur A. TANKÜL, "Perfect Matching of Fractal Honeycomb Meshes", Anatolian Science - Journal of Computer Science, (2019) 38-46.
- B. Selcuk, A. Karcı “Connected cubic network graph”, Engineering Science and Technology, an International Journal, Volume 20 Issue 3 (2017) 934-943. (ESCI)
- J. Zhang, 2018. “Data Distribution Equivalence for Data Intensive Interconnection Networks”. Ph.D thesis
Stony Brook University, United States.
- B. Selcuk, N. Ozalp "Quenching for a semilinear heat equation with a singular boundary outflux" Int. J. Appl. Math, Volume 29 Number 4 (2016) 451-464.
- Yang, Y. Quenching Phenomenon for A Degenerate Parabolic Equation with a Singular Boundary Flux. J Dyn Control Syst (2020). https://doi.org/10.1007/s10883-020-09494-2
- B. Selcuk "Quenching problems for a semilinear reaction-diffusion system with singular boundary outflux" Tamkang Journal of Mathematics, Volume 47, Number 3, 323-337, September 2016. (ESCI)
- A. Karcı, B. Selcuk “A new hypercube variant: Fractal cubic network graph”, Engineering Science and Technology, an International Journal 18 (2015) 32-41.
- Karthik K, S Jena, T Venu Gopal, "Performance Index - A Metric to Analyze and Evaluate Performance of Hypercube Interconnection Networks", IJRTE, Volume-7 Issue-4, November 2018.
- J. Komjáthy, R. Molontay, K. Simon "Transfinite fractal dimension of trees and hierarchical scale-free graphs", Journal of Complex Networks, cnz005, https://doi.org/10.1093/comnet/cnz005, Published: 23 February 2019..
- W. Gui, J. Liang, A new interconnection network: Extended exchanged hypercube, ICIC Express Letters, Volume 10, Issue 11, 2016, Pages 2727-2733.
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Ulusal Hakemli Dergilerde Yayınlanmış Makaleler |
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- B.Selcuk, Blow up for Porous Medium Equations, Mathematical Sciences and Applications E-Notes, 9 (1), 22-27, 2021.
- B. Selcuk, N. Ozalp "Quenching for a nonlinear diffusion equation with singular boundary outfluxes" Turk. J. Math. Comput. Sci. 8 (2018) 65–69.
- B.Selcuk, "The quenching behavior of a parabolic system", Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 62, no.2, 29-35 (2013)
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Uluslararası Bilimsel Toplantılarda Sunulmuş Bildiriler |
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- B. Selcuk, Ayşe Nur A. TANKÜL, "Designing a New Hybrid Cryptographic Model", 2nd International Conference on Cyber Security and Computer Science (ICONCS 2020), February 15-16 2020, Dhaka, Bangladesh.
- A. N. Altıntaş Tankül, B. Selcuk, "Parallel Artificial Atom Algorithm for Large Scale
Travelling Salesman Problem", International Conference on Advanced Technologies, Computer Engineering and Science (ICATCES’18), May 11-13, 2018 Safranbolu, Turkey.
- B. Açma, E. Cifci, B. Selcuk, "Artificial Atom Algorithm in Image Processing Applications", International Conference on Advanced Technologies, Computer Engineering and Science (ICATCES’18), May 11-13, 2018 Safranbolu, Turkey.
- E. Cifci, B. Açma, B. Selcuk, "Yapay Atom Algoritması Kullanarak Bireye Özgü Öğün Programlı Beslenme Çizelgesi Hazırlanması", International Artificial Intelligence and Data Processing Symposium'17, Inonu University , Malatya, TURKEY (2017).
- B. Selcuk, A. Karcı, "Connected cubic network graph and its hamiltonian properties", 2nd International Eurasian Conference on Mathematical Sciences and Applications, IECMSA-2013, Proceeding Book of IECMSA2013-Abstracts, 225, Sarajevo, BOSNIA and HERZEGOVINA, (2013)
- B. Selcuk, N. Ozalp, "The quenching behavior of a parabolic system with singular boundary conditions", 2nd International Eurasian Conference on Mathematical Sciences and Applications, IECMSA-2013, Proceeding Book of IECMSA2013-Abstracts, 146-147, Sarajevo, BOSNIA and HERZEGOVINA, (2013)
- N.AYDIN, B.ŞEN, B.SELÇUK; “Using Gaussian Jordan Elimination Method with Cuda for Linear Circuit Equation System”, First World Conference on Innovation and Computer Sciences (INSODE 2011), Bahcesehir University, 02-04 September 2011, Istanbul – Turkey,
doi: 10.1016/j.protcy.2012.02.008
- Z. Chen, H. Chen, "New deconvolution method for microscopic images based on the continuous Gaussian radial basis function interpolation model", J Biomed Opt. 2014;19(7):076009. doi: 10.1117/1.JBO.19.7.076009.
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Ulusal Bilimsel Toplantılarda Sunulmuş Bildiriler |
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- Ö. F. Acar, B. Selçuk, "Birliktelik Analizinde Yeni Bir Yaklaşım: Empati–Çıkar Yöntemi", 20. Akademik Bilişim Sempozyumu, Karabük Üniversitesi, 31 0cak-2 Şubat 2018.
- B. Selçuk, N. Özalp, “Lineer olmayan bir difüzyon denkleminin sönüm davranışı”, 30. Ulusal Matematik Sempozyumu, Atılım Üniversitesi, (Özet Kitapçığı, S.63) 6-9 Eylül 2017.
- B. Selçuk, N. Özalp, “Lineer olmayan sınır şartlı patlama ve sönüm problemi” , 10. Ankara Matematik Günleri Sempozyumu, Ortadoğu Teknik Üniversitesi, (Özet Kitapçığı, S.106) 11-12 Haziran 2015.
- B. Selçuk, N. Özalp, “Singüler sınır şartlı bir yarı lineer parabolik denklemin çözümlerinin sönüm davranışı” , 7. Ankara Matematik Günleri Sempozyumu, Bilkent Üniversitesi, (Özet Kitapçığı, S.73) 31 Mayıs-1 Haziran 2012.
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Hakemlik Yapılan Dergi ve Konferanslar |
- Technological Applied Sciences (NWSA), (2016)
- New Trends in Mathematical Sciences, (2016)
- Commun. Fac. Sci. Univ. Ankara. Ser. A1: Math. Stat., (2016)
- Turkish Journal of Electrical Engineering and Computer Science, (2016)
- 24. Sinyal İşleme ve İletişim Uygulamaları Kurultayı (SİU2016)
- 23. Sinyal İşleme ve İletişim Uygulamaları Kurultayı (SİU2015)
- Boundary Value Problems, Springer, (2015).
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Ödül ve Destekler |
- TÜBİTAK Bilimsel Yayın Teşvik Ödülü, (2014, 2015)
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Verilen Dersler |
- Sayısal Analiz (2015)
- Differensiyel Denklemler (2015)
- Algoritmalar (2013)
- Ayrık Matematik (2013)
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Tez Danışmanlıkları |
Yüksek Lisans |
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- Ayşe Nur Altıntaş Tankül, "Küre Üzerinde 3 Boyutlu Gezgin Satıcı Problemi Çözümünde Yapay Atom Algoritması Optimizasyonunun Paralel Programlama ile Uygulaması", 2018.
- Ömer Faruk Acar, "Türkçe Metinlerdeki Birliktelik Analizi", 2017.
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