Curriculum Vitae
Hanif Mirzaei, Ph.D.
Associate Professor of Applied Mathematics
Areas of Interests: ODE, Inverse Eigenvalue Problems, Sturm- Liouville Problem, Discrete Eigenvalue Problems.
Email: h_mirzaei@sut.ac.ir, hanifmirzaei@yahoo.com
Phone: +984133459056
P.O. Box: 51335-1996
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Education:
Ph.D, Applied Mathematics- Differential Equations, Sahand University of Technology, Tabriz - Iran,
M.Sc, Applied Mathematics- Differential Equations, Tabriz University, Tabriz - Iran,
B.Sc, Applied Mathematics, Tabriz University, Tabriz - Iran.
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Professional Membership:
Iranian Mathematical Society
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Teaching Experience:
B.Sc: Calculus 1, 2, Differential Equations, Engineering Mathematics, Numerical Computation.
M.Sc & Ph.D: Integral Equation, Theory of Ordinary Differential Equations, Fractional Differential Equations.
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Graduate Students:
Ph.D
1. B. Khosrozadeh (advisor)
2. Vahid Abbasnavaz
3. Zahra Kavooci
4. Mahmood Emami
M.Sc
1. S. Mohammadi, Constructing rods with given natural frequencies, 2016.
2. H. Mardafkan, Constructing rods with given natural frequencies, 2017 .
3. M. Ashraf, Solution of sturm-liouville problems using modified neumann schemes, 2018.
4. F. Avvali, Efficient numerical solution of the 1D Schrodinger eigenvalue problem using Magnus integrators, 2018.
5. M. Razavipour, Uniqueness of positive solutions for boundary value problems of singular fractional differential equations , 2018.
6. R. Mohammad Khani, A method of Lie-symmetry GL(n,R) for solving non-linear dynamical systems, 2018.
7. F. Ahmadi, A real-time Lie-group differential algebraic equations method to solve the inverse non-linear vibration problems, 2018.
7. R. Mahmoodvand, An inverse eigenvalue problem for Jacobi matrix, 2019.
8. F. Roshdi, Lie Group Classification And Exact Solutions Of The GeneralizedKompaneets Equations, 2019.
9. P. Narenji, On Inverse Eigenvalue Problems for Two Kinds of Special Banded Matrices, 2021.
10. F. Feyzollahzadeh, An inverse eigenvalue problem for the finite element model of a vibrating rod, 2021.
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Publications:
1. On the Isospectral Sixth Order Sturm-Liuoville Equation , Journal of Lie Theory , Heldermann Verlag , Vol . 23 , 921-935 , 2013 , (with K . Ghanbari).
2. Reconstruction of a Rod using one spectrum and minimal mass condition , Inverse Problems in Science and Engineering , Vol.22 , N0.2 , 530-542 , 2014 , (with K . Ghanbari , G . M . L . Gladwell).
3. Constructing Jacobi matrices using mixed eigendata , Linear and Multilinear Algebra , 10.1080/03081087.2013.786716 , 2013 , (with K . Ghanbari , F . Parvizpour).
4. Inverse eigenvalue problem for pentadiagonal matrices , Inverse Problems in Science and Engineering,Vol.22 , N0.4 , 325-333 , 2014 , , (with K . Ghanbari).
5. Existence and multiplicity results of positive solutions for boundary value problems of nonlinear fractional differential equation , , Dynamics of Continuous , Discrete and impulsive systems series A : Mathematical Analysis 20 (2013) 543-558 , (with K . Ghanbari , Y . Gholami).
6. Matrix representation of a sixth order Sturm-Liouville problem and related inverse problem with finite spectrum , Boultein of Iranian Mathematical society , Volume 41 , Issue 4 , August and September 2015 , Page 1031-1043 , (with K . Ghanbari).
7. On the generalized inverse eigenvalue problem of constructing symmetric pentadiagonal matrices from three mixed eigendata , Linear and Multilinear Algebra , (with M.R . Moghaddam , K . Ghanbari) .
8. Existence and nonexistence of positive solution for sixth-order boundary value problems , Bulletin of the Iranian mathematical society, Volume 42, Issue 6, Page 1451-1458 , 2016.
9. Constructing Rod and Beam equation with fundamental mode and physical parameters of polynomial form ,Iranian journal of science and technology - Transaction A : Science , Volume 41,Issue 2, pp 445–449, 2017.
10. The eigenvalues of fourth order Sturm-Liouville problem by Lie group method, Iranian journal of numerical analysis and optimization, Vol, Issue 2, page ,2017 .
11. A family of isospectral fourth order Sturm-Liouville problems and equivalent beam equations, Math. Commun. 22(2017), 1–13.
12. Inverse eigenvalue problem for pseudo symmetric jacobi matrices with two spectra, Linear and multilinear algebra, DOI: 10.1080/03081087.20107.1322032, 2017.
13. Higher order Sturm-Liouville problems with the Same eigenvalues, Turkish journal of mathematics, Vol. 44, 2020, 409-417.
14. Isospectral sixth order Sturm-Liouville eigenvalue problems, Computational methos in Diff. Eqs.Vol. 8, No. 4, 2020, pp. 762-769.
15. يک مسألۀ جديد مقدار ويژه معکوس براي ماتريسهاي ژاکوبي و سيستم جرم-فنر متناظر، پژوهشهای رياضی، دانشگاه خوارزمی، 2020 .
16. Construction of H-Symmetric pentadiagonal matrices by three spectra, Applied Mathematics in Science and Engineering Vol.30 No. 1 (2022) 61-74.
17. New form of Laguerre fractional differential equation and applications, Turkish journal of mathematics, accepted.(
with Z. Kavooci, K. Ghanbari)
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Conference Presentations:
1. Inverse eigenvalue problem for pentadiagonal matrices , 6-th Seminar in Linear Algebra and Applications , University of Arak , Jun 2011.
2. Tau method for eigenvalues of Euler-Bernoulli equation , 42nd Annual Iranian Mathematics Conference , Vali-e-Asr University , Rafsanjan,Iran , 5-8 September , 2011.
3. Recursive Tau Method for the Numerical Solution of Fredholm-Volterra Integro-Differential Equations , 42nd Annual Iranian Mathematics Conference , Vali-e-Asr University , Rafsanjan,Iran , 5-8 September , 2011.
4. Inverse eigenvalue problem for continuous Rod,10 th Seminar on Differential Equations and Dynamical Systems , 6-7 November , 2013.
5. Reconstruction of pentadiagonal matrix with mixed eigendata , The $45^{th}$ Annual Iranian Mathematics Conference , Semnan University , August 26-29 , 2014.
6. Quasi-isospectral Sturm-Liouville problems , 6th seminar on numerical analysis and its applications , University of Maraghe , 1395.(with S. Mohammadi)
7. Constructing the cross-sectional area of rod equation , 13th intenational seminar on differential equations and dynamical systems , Isfahan University of Technology , 1395.(with S. Mohammadi)
8. Inverse eigenvalue problems for Pseudo-symmetric jacobi matrices , 47nd Annual Iranian Mathematics Conference , University of Kharazmi , 1395.
9. A family of isospectral fourth order Sturm-Liouville equations , 47nd Annual Iranian Mathematics Conference , University of Kharazmi , 1395 .
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BOOK:
1. Theory and problems in Differential Equations, Frouzesh Publisher, 1390.
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