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
(2024) A. Gökçe, B. Gürbüz, A. D. Rendall, Dynamics of a mathematical model of virus spreading incorporating the effect of a vaccine. Nonlinear Analysis: Real World Applications, 78, 104097, 2024. DOI: 10.1016/j.nonrwa.2024.104097.
(2023) N. Yönet, B. Gürbüz, A. Gökçe, An alternative numerical approach for an improved
ecological model of interconnected lakes with a fixed pollutant. Computational and
Applied Mathematics, 42(56), 2023. DOI: 10.1007/s40314-023-02191-3.
(2022) B. Gürbüz, A. D. 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.