Kontakt
Frau Dr. Burcu Gürbüz
FB 08 Physik, Mathematik, Informatik
Institut für Mathematik
Johannes-Gutenberg-Universität Mainz
Staudingerweg 9
55128 Mainz
Büro: 04-521
Telefon: +49 6131 39 25775
Mail: burcu.gurbuz@uni-mainz.de
Website: https://burcugurbuz50127267.wordpress.com/
Forschungsinteressen
Dynamische Systeme, Differentialgleichungen, qualitative Analysis, mathematische Biologie, numerische Methoden, Programmierung.
Lebenslauf
Ausgewählte Veröffentlichungen
(2022) B. Gürbüz, A. Gökçe, An Algorithm and Stability Approach for the Acute Inflammatory Response Dynamic Model. Operations Research, Taylor & Francis-CRC Press, 1st Ed., 192-217, DOI: 10.1201/9781003324508-14.
(2022) B. Gürbüz, A. Rendall, Analysis of a model of the Calvin cycle with diffusion of ATP. Discrete & Continuous Dynamical Systems-B, 27(9), 5161-5177, DOI: 10.3934/dcdsb.2021268.
(2022) B. Gürbüz, Herman Mawengkang, Ismail Husein, Gerhard-Wilhelm Weber, Rumour propagation: An operational research approach by computational and information theory, Central European Journal of Operations Research, 30(1), 345-365, DOI: 10.1007/s10100-020-00727-0.
(2022) B. Gürbüz, A computational approximation for the solution of retarded functional differential equations and their applications to science and engineering, Journal of Industrial & Management Optimization, 18(4), 2319-2334, DOI: 10.3934/jimo.2021069.
(2022) B. Gürbüz, A numerical scheme for the solution of neutral integro-differential equations including variable delay, Mathematical Sciences, 16(1), 13-21, DOI: 10.1007/s40096-021-00388-3.
(2021) B. Gürbüz, A computational technique for solving singularly perturbed delay partial differential equations, Foundations of Computing and Decision Sciences, 46(3), 221-233, DOI: 10.2478/fcds-2021-0015.
(2020) B. Gürbüz, M. Sezer, A Modified Laguerre Matrix Approach for Burgers-Fisher Type Nonlinear Equations, Numerical Solutions of Realistic Nonlinear Phenomena, Springer, 107-123, DOI: 10.1007/978-3-030-37141-8.
(2019) B. Gürbüz, Laguerre matrix-collocation technique to solve systems of functional differential equations with variable delays, AIP Conference Proceedings, 2183(1) 090007, DOI: 10.1063/1.5136207.
(2019) J. Paez Chavez, B. Gürbüz, C.M. A. Pinto, The effect of aggressive chemotherapy in a model for HIV/AIDS-cancer dynamics, Commun Nonlinear Sci Numer Simul, (75) 109--120, DOI: 10.1016/j.cnsns.2019.03.021.
(2018) M. Çetin, B. Gürbüz, M. Sezer, Lucas collocation method for system of high-order linear functional differential equations, J Sci Arts, 4(45) 891--910.
(2018) E. Gökmen, B. Gürbüz, M. Sezer, A numerical technique for solving functional integro-differential equations having variable bounds, Comput Appl Math, 1--15, DOI: 10.1007/s40314-018-0653-z.
(2018) B. Gürbüz, M. Sezer, Modified Laguerre collocation method for solving 1-dimensional parabolic convection-diffusion problems, Math Meth Appl Sci, 41, 8481--8487, DOI: 10.1002/mma.4721.
(2017) B. Gürbüz, M. Sezer, A new computational method based on Laguerre polynomials for solving certain nonlinear partial integro differential equations, Acta Phys Pol A, 132(3) 561--563, DOI: 10.12693/APhysPolA.132.561.
(2017) B. Gürbüz, M. Sezer, Laguerre polynomial solutions of a class of delay partial functional differential equations, Acta Phys Pol A, 132(3) 558--560, DOI: 10.12693/APhysPolA.132.558.
(2017) B. Gürbüz, M. Sezer, Laguerre polynomial approach for solving nonlinear Klein-Gordon equations, Malaysian J Math Sci, 11(2) 191--203.
(2017) B. Gürbüz, M. Sezer, Numerical solutions of one-dimensional parabolic convection-diffusion problems arising in biology by the Laguerre collocation method, BIOMATH, 6(1) 1--5 1706047, DOI: 10.11145/j.biomath.2017.06.047.
(2017) B. Gürbüz, M. Sezer, A numerical solution of parabolic-type Volterra partial integro-differential equations by Laguerre collocation method, Int J Appl Phys Math, 7(1) 49--58, DOI: 10.17706/ijapm.2017.7.1.49-58.
(2016) B. Gürbüz, M. Sezer, An hybrid numerical algorithm with error estimation for a class of functional integro-differential equations, Gazi Uni J Sci, 29(2) 419--434.
(2016) B. Gürbüz, M. Sezer, Laguerre polynomial solutions of a class of initial and boundary value problems arising in science and engineering Fields, Acta Phys Pol A, 129(1) 194--197, DOI: 10.12693/APhysPolA.130.194.
(2014) B. Gürbüz, M. Sezer, C. Güler, Laguerre collocation method for solving Fredholm integro-differential equations with functional arguments, J Appl Math, 2014, DOI: 10.1155/2014/682398.
(2014) B. Gürbüz, M. Sezer, Laguerre polynomial approach for solving Lane-Emden type functional differential equations, Appl Math Comput, 242, 255--264, DOI: 10.1016/j.amc.2014.05.058.
(2011) B. Gürbüz, M. Gülsu, M. Sezer, Numerical approach of high-order linear delay difference equations with variable coeffecients in terms of Laguerre polynomials, Math Comput Appl, 16(1) 267--278.
(2011) M. Gülsu, B. Gürbüz, Y. Öztürk, M. Sezer, Laguerre polynomial approach for solving linear delay difference equations, Appl Math Comput, 217, 676--6776, DOI: 10.1016/j.amc.2011.01.112.