Ali Zein
Ali Zein
Assistant Professor
Department of Applied Mathematics
Palestine Polytechnic University
Publications
- Abu Ghalioun, N., & Zein, A. (2025). Optimal fourth-order iterative methods for solving nonlinear equations: An innovative general class with stable members and engineering applications. Journal of Applied Analysis & Computation, 15(6), 3649–3676.
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Zein, A. (2024). A new family of optimal fourth-order iterative methods for solving nonlinear equations with applications. Journal of Applied Mathematics, 2024, Article ID 9955247.
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Zein, A. (2023). A general family of fifth-order iterative methods for solving nonlinear equations. European Journal of Pure and Applied Mathematics, 16(4), 2323–2347.
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Abu Iram, Z., & Zein, A. (2022). A new family of second-order iterative methods for computing the Moore–Penrose inverse based on Penrose equations. International Journal of Applied Mathematics, 35(3), 365–380.
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Al-Hamouri, R., & Zein, A. (2014). Oscillation results of higher-order nonlinear neutral delay differential equations. Electronic Journal of Qualitative Theory of Differential Equations, 2014(19), 1–7.
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Al-Hamouri, R., & Zein, A. (2014). Oscillation criteria for certain even-order neutral delay differential equations. International Journal of Differential Equations, 2014, Article ID 437278.
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Zein, A., Hantke, M., & Warnecke, G. (2013). On the modeling and simulation of a laser-induced cavitation bubble. International Journal for Numerical Methods in Fluids, 73, 172–203.
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Zein, A., Hantke, M., & Warnecke, G. (2010). Modeling phase transition for compressible two-phase flows applied to metastable liquids. Journal of Computational Physics, 229(8), 2964–2998.
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Zein, A., & Abu-Kaff, T. (2006). Bounded oscillation of higher-order neutral differential equations with oscillating coefficients. Applied Mathematics E-Notes, 6, 126–131.
Talks in Workshops
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Zein, A. On the modeling and simulation of laser-induced cavitation bubbles. Fourth Workshop “Micro-Macro Modelling and Simulation of Liquid–Vapour Flows,” February 4–6, 2009, Aachen, Germany.
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Zein, A. Modeling phase transition for compressible two-phase flows applied to metastable liquids. Ninth Hirschegg Workshop on Conservation Laws, September 6–12, 2009, Hirschegg, Austria.
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Zein, A. On the numerical simulation of a laser-induced cavitation bubble with phase transition. Fifth Workshop “Micro-Macro Modelling and Simulation of Liquid–Vapour Flows,” April 14–16, 2010, Strasbourg, France.
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Zein, A. Modeling phase transition for compressible two-phase flows: Application to cavitation bubbles. Workshop on Computational Methods in Science and Engineering, March 14, 2015, An-Najah National University, Nablus, Palestine.
Master Students
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Razan Hamouri, Numerical methods for Euler equations, 2012.
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Hiba Jawaeda, Oscillation of second order nonlinear neutral dynamic equations on time scales, 2014.
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Ghadeer AL-Bakri, Oscillation of first order impulsive functional differential equations, 2015.
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Alaa Al-Khatib, Differential Transform Method for Differential Equations, 2016.
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Kholoud Nashawieh, Variational iteration method for differential equations, 2016.
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Zainab Abu-Iram, Iterative methods for Moore-Penrose inverse, 2018.
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Manal Juneidi, Oscillation of delay diffrential equations with a middle term, 2019.
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Saed Turq, Homotopy type methods for nonlinear differential equations, 2020.
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Besan Abueid, Combined Integral Transform - Adomain Decomposition Methods For Solving Nonlinear Differential Equations, 2020.
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Mohammed Abu Sammour, Bounds for the Eigenvalues of Matrix Polynomials, 2024 (Co-Supervisor).
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Niveen Abu-Ghalioun, Optimal Iterative Methods for Solving Nonlinear Equations with Applications, 2025.
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Mariam Mashaala, Third and Fourth-Order Iterative Methods for Solving Nonlinear Equations, 2025.
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Israa Abuturky, Fifth- and sixth-order iterative methods for solving nonlinear equations, 2025.