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Moving Meshless Methods
2. Master of Science in Applied Mathematics, specializing in Numerical Analysis, University of Sistan and Baluchestan, from October 1997 to 1999. (Moving Finite Element Methods for the Numerical Solution of Time-Dependent Partial Differential Equations)
Moving Finite Elements
3. Bachelor's in Applied Mathematics, Vali-e Asr University (PBUH) of Rafsanjan, from 1992 to 1996.
4. Technical Diploma in Mechanical Engineering, Thermal Power Plant Facilities, Mechanical Department, Faculty of Engineering, Shahid Chamran University of Ahvaz from 1989 to 1992.
Power Plant Heating Systems, Refrigeration, Ventilation, and Air Conditioning Systems
5. High School Diploma, Mechanical-Industrial Branch, Fateh Al-Mobin Technical School in Ahvaz, from 1985 to 1989.
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Teaching Experience:
General Mathematics 1, 2 and 3, Ordinary Differential Equations, Numerical Analysis 1 and 2, Advanced Numerical Analysis, Engineering Mathematics, Advanced Engineering Mathematics, Mathematical Methods in Physics 2 and 3, Specialized Language in Mathematics, Numerical Solutions of Partial and Ordinary Differential Equations, Theory of Partial Differential Equations, Numerical Solutions of Differential Equations Using Finite Element Methods, Graph Theory and Applications, Discrete Mathematics, History of Mathematics, Foundations of Mathematics Education, Philosophy of Mathematics, Linear Algebra, Numerical Linear Algebra, Numerical Computations, Advanced Numerical Computations, CFD, Meshless Methods and Radial Basis Functions for Numerical Solutions of Partial Differential Equations, Operations Research 1 and 2, Advanced Operations Research, Mathematical Analysis 1 and 2, Mathematical Software (Mathematica and Matlab), Complex Functions and Variables....
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Research Areas:
Finite Element or Finite Elements Methods, Domain and Boundary Meshless Methods, Mathematical Methods in Physics, Engineering Mathematics, Numerical Solutions of Partial and Ordinary Differential Equations, Finite Difference Methods, Burgers' Equation, KdV Equation, Fisher Equation, Klein-Gordon Equation, Sine-Gordon Equation, Sturm-Liouville, and Nonlinear Shock Equations, Stiff Problems, Numerical Linear Algebra, Mathematical Software (Matlab, Mathematica), Radial Basis Functions (RBF), Fundamental Solutions Method (MFS)...
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M. Ghorbani, M. Solaimani, "Optical properties of a few semiconducting heterostructures in the presence of Rashba spin-orbit interactions: a two-dimensional finite-difference numerical approach", 2019, Journal of the Optical Society of America B 36(7):1774-1782.
Mehrzad Ghorbani, Saeid Saki, "Numerical Solution of Klein-Gordon and Sine-Gordon Equations Using Numerical Method of Gridless Lines", May 2018, International Journal of Engineering Research and Applications, Vol.8, Issue 5.
M. Ghorbani, M. Solaimani, "Wave Packet Broadening through Different Semiconducting Mediums: A Meshless Multi-quadric radial base function study", International Journal of Modern Physics B (IJMPB), vol. 32, 2018, 9 pages.
Mehrzad Ghorbani, "Investigation and Evaluation of Operational Matrix In Order To Solve the Partial Differential Equation", INTERNATIONAL JOURNAL OF ENVIRONMENTAL & SCIENCE EDUCATION, 2018, VOL. 11, NO. 4, 349-358. It is an Open Access Journal.
Mahdi Solaimani, Mehrzad Ghorbani, "A meshless method of line radial base function study of Gaussian wave packet broadening....", Optical and Quantum Electronics, October 2018.. It is an interdisciplinary high-quality paper between Meshless methods and Physical interpretation. The Schrodinger PDE is the main problem of this research.
Mehrzad Ghorbani, Daniel Watson, A Collocation and Least Squares p-Singular Boundary Method Without Fictitious Boundary, Accepted in: Engineering Analysis with Boundary Elements, 2015.
(Daniel Watson from: University of Southern Mississippi, Hattiesburg)
Mehrzad Ghorbani, Shokoofeh Sayyad, "Study of some effective factors on teaching mathematics, causes of non-utilization of new teaching methods, and consideration of the effects of active and inactive methods on learning", Journal of Applied Science and Agriculture, pages: 317-323, 9(1), January 2014. (ISI)
M. Ghorbani, Y. Nafisinia, R. Ghorbani Jafarbeigloo, "Application of Collocated Legendre
Book Publications:
1. Book "Practical Mathematical Software, Volume 1: Mathematica", authored by Mehrzad Ghorbani and Reza Mokhtari, Pelak Publications, 1393.
Approved by Wolfram Company and listed on their website at: http://www.wolfram.com/books/profile.cgi?id=9111
Mathematica Book for Mathematics, Physics, and Engineering Majors, authored by Dr. Mehrzad Ghorbani, 1395, Qom Religious Press Publications. Approved by Wolfram Company .http://www.wolfram.com/books/profile.cgi?id=9523 This book is included in Wolfram Company's system.
National and International Conferences:
1. National Conference on Research Management and Technology, January 6-7, 1389, "Some Structural and Regulatory Reforms to Improve Knowledge Management", Mehrzad Ghorbani, published in proceedings, page 205, Tehran, Islamic Countries Summit Hall.2. Shahid Chamran University of Ahvaz, 23rd International Conference on Chang, Jeon, February 8-10, 2010
A boundary Meshless Method for Bi-harmonic problems,
M. Ghorbani, Mehri Sohrabi
3. 38th Iranian Mathematics Conference, September 12-15, 1386, Zanjan University, "Multi-mesh wave damping methods in Partial Differential Equations. Mehrzad Ghorbani, Tahereh Jabari.
4. 38th Iranian Mathematics Conference, September 12-15, 1386, Zanjan University, A method for solving time-dependent problems using moving mesh based on the principle of mass conservation, Mehrzad Ghorbani, Seyed Ali Ahmadian Hosseini, Jahid Naqi Pour.
5. Provided a workshop "Introduction to Mathematica Software", Scientific Physics and Life Foundation, 1388.
6. 39th Iranian Mathematics Conference, Shahid Bahonar University of Kerman, September 3-6, 1387
A Combination of Diffuse Element and Kansa's Method
for Numerical Solution of PDEs.
7. 40th Mathematics Conference of the Country, Sharif University of Technology,
M. Ghorbani, Alireza Heidarpoor, "Dual Reciprocity Method as a Boundary Method for Numerical Solution of Nonhomogeneous Elliptic PDEs"
Vali Asr University of Rafsanjan, Approximate Computation of Eigenvalues for a Special Case of Sturm-Liouville Equation Using the Local Homogeneous Method, Mehrzad Ghorbani, Elham Zarein, Mehri Sohrabi.
10. International Workshop of Meshfree Methods, 21-23 July 2003, Lisbon, Portugal, "Moving Meshless Methods, Moving Element Free Petrov Galerkin Viscous Methods"... http://www.math.ist.utl.pt/~calves/meshfree2003/Wmm2003-pg.html#gho,
http://www.math.ist.utl.pt/~calves/meshfree2003/ghorbany.pdf
11. Held a workshop "Introduction to Mathematica Software" at the Scientific Physics and Life Foundation, Zahedan, February 10, 1388.
Theses and Projects:
1. Bachelor's project in Physics, Physics Department of Zahedan, University of Sistan and Baluchestan, "Green's Functions and Their Application in Solving Partial Differential Equations". Babak Rahmani. 1387.
2. Bachelor's project, Physics Department, University of Sistan and Baluchestan, "Tensors and Their Applications in Relativity", Hassan Mehr Afza, 1387.
3. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Ms. Somayeh Sandgol Samereh, "A Meshless Method for the Numerical Solution of Nonlinear Reactive Partial Differential Equations", Bahman 1391.
4. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Ms. Elham Zarein, "Approximate Computation of Eigenvalues for Special Cases of Sturm-Liouville Equation Using One of the Residual Weighted Methods", Summer 1390.
5. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Ms. Mehri Sohrabi, "Numerical Solution of Partial Differential Equations with Elliptic Derivatives Using Fundamental Solution Method", Winter 1388.
6. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Ms. Somayeh Tahaghghi Arab, "Method of Approximating Private Solutions for Solving Special Partial Differential Equations", Summer 1393.
7. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Ms. Soghra Sari, "EFG Meshless Method for Solving Time-Dependent KdV Partial Differential Equations", Summer 1393.
8. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Younes Nafisinia, "Investigation of a Fundamental Meshless Method in Partial Differential Equations Without Virtual Boundary", Winter 1391.
9. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Ms. Farah Saravani, "Fundamental Solution Method for Solving Convective Diffusion Equations with Variable Coefficients", Summer 1390.
10. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Ms. Mobina Asadi, "Moving Least Squares Approximation of Hermite Type", Winter 1389.
11. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Karim Bakhsh Baluchzadeh, "Numerical Solution of Time-Dependent Partial Differential Equations Using Trefftz Meshless Method", Fall 1392.
12. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Ali Reza Heidar Pour
13. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Mohaddeseh Kouhestani
14. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Soheila Pirimoghadam, "Internal Methods for Nonlinear Optimization", Winter 1386.
15. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Neda Gilani, feasibility or applicability of Fundamental Solutions method,
16. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Ms. Zahra Sadat Nawala Mir, "Numerical Solution of Volterra Integral Equations Using Parallel Algorithm", Winter 1393.
17. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Ms. Sara Kalantari
18. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Ms. Mahbubeh Nakhaei Moghadam, "Boundary Meshless Method for Time-Dependent Equations with Variable Coefficient", Winter 1393.
19. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Sadr al-Din Safavi
20. Supervision of Master's thesis in Mathematics Education at Azad University Unit of Zahedan, Ms. Shokoofeh Sayyad, "Turning Points, Using Teachers' Life Stories to Reform Mathematics Education", Winter 1388.
21. Supervision of Master's thesis in Mathematics Education at Azad University Unit of Zahedan, Ms. Zahra Sahra Neshin Karbasaki, ".......", ----------.
22. Supervision of Master's thesis in Applied Mathematics specializing in Numerical Analysis at Azad University Unit of Zahedan, Ms. Asieh Islami, "Numerical Solution of Partial Differential Equations Using the Kansa Element Method", Summer 1390.
Supervision and advising of other master's students at Qom Technical University:
Morteza Kakli, Saeid Saki, Sattar Motai, Hossein Aryanfar, Mahdi Khadem, Soheila Ansari, Leila Ghasemi, Mina Vaisi, Elaheh Masoumi Tabr, Mohaddese Arbabi Barzaki, Mansoureh Kazemi Pour (BSM), Raheleh Mazaheri, Atena Sadat Sharifi, Hamid Jafari, Samaneh Zend,
PhD students:
Advisor Ms. Maryam Savehvar, PhD student in Physics at Semnan University.
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Email Addresses:
mehrzadghorbany@yahoo.com, mehrzadghorbany@gmail.com, ghorbani@qut.ac.ir and an old email from the system of the University of Sistan and Baluchestan which I occasionally check: ghorbany@hamoon.usb.ac.ir