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دکتر محمد ایلاتی
مرتبه علمی :استادیار
تخصص :
زمینه های تحقیقاتی :
مراکز تحقیقاتی :
پست الکترونیکی:
ilati@sut.ac.ir
شماره تلفن:
33459040-041
شماره فکس:
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رزومه:
Faculty Profile
Mohammad Ilati
Assistant Professor of the Department of Applied Mathematics,
Faculty of Basic Sciences,
Sahand University of Technology,
Tabriz,
Iran.
Email: ilati@sut.ac.ir
Phone: +98 4133459040
My Profile in Google Scholar:
https://scholar.google.com/citations?user=S8ZZbeEAAAAJ&hl=en
Educational Background
Ph.D. of Applied Mathematics (Numerical Analysis), 2013-2017.
Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran,
Thesis: Development of meshless methods based on local weak form for solving systems of non-linear partial differential equations
Supervisor: Prof. Mehdi Dehghan
M.Sc. of Applied Mathematics (Operations Research), 2010-2012.
Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
Thesis: Improving the computational efficiency in a global formulation for interactive multi-objective optimization.
Supervisor: Prof. Esmaile Khorram
Avg. course grades: 18.01 (out of 20)
B.Sc. of Applied Mathematics, 2006-2010
University of Mohaghegh Ardabili, Ardabil, Iran
Avg. course grades: 18.39 (out of 20)
Fields of Interest
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Numerical methods for solving Partial Differential Equations (PDEs)
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Meshless methods for solving PDEs
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Finite Elements Method
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Numerical solution of Fractional PDEs
Honors
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Member of National Elites Foundation of Iran, 2016-2018.
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Ranked first among all the applied mathematics students with Avg. course grades 18.39, University of Mohaghegh Ardabili, 2010.
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Ranked 19st in the national university entrance exam for Ph.D. among 2915 entrants in Iran, 2013.
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Ranked 44st in the national university entrance exam for M.Sc. among 12166 entrants in Iran, 2010.
Journal Papers
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M. Haghi, M. Ilati, M. Dehghan, A radial basis function-Hermite finite difference (RBF-HFD) method for the cubic-quintic complex Ginzburg–Landau equation, Computational and Applied Mathematics 42 (2023) 115.
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S. Eslami, M. Ilati, M. Dehghan, A local meshless method for solving multi-dimensional Galilei invariant fractional advection–diffusion equation, Engineering Analysis with Boundary Elements 143 (2022) 283-292.
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M. Haghi, M. Ilati, M. Dehghan, A fourth‑order compact difference method for the nonlinear time‑fractional fourth‑order reaction–diffusion equation, Engineering with Computers (2021).
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M. Ilati, A meshless local moving Kriging method for solving Ginzburg-Landau equation on irregular domains, The European Physical Journal Plus 135 (2020) 873.
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M. Ilati, DMLPG method for specifying a control function in two-dimensional parabolic inverse PDEs, Computers & Mathematics with Applications 80 (5) (2020) 604-616.
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M. Ilati, Analysis and application of the interpolating element-free Galerkin method for extended Fisher–Kolmogorov equation which arises in brain tumor dynamics modeling, Numerical Algorithms 85 (2020) 485-502.
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M. Ilati, M. Dehghan, DMLPG method for numerical simulation of soliton collisions in multi-dimensional coupled damped nonlinear Schrödinger system which arises from Bose-Einstein condensates, Applied Mathematics and Computation 346 (2019) 244-253.
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M. Ilati, M. Dehghan, Error analysis of a meshless weak form method based on radial point interpolation technique for Sivashinsky equation arising in the alloy solidification problem, Journal of Computational and Applied Mathematics 327 (2018) 314–324.
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M. Ilati, M. Dehghan, Direct local boundary integral equation method for numerical solution of extended Fisher–Kolmogorov equation, Engineering with Computers 34 (1) (2018) 203–213.
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M. Ilati, M. Dehghan, Application of direct meshless local Petrov–Galerkin (DMLPG) method for some Turing-type models, Engineering with Computers 33 (1) (2017) 107–124.
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M. Ilati, M. Dehghan, Remediation of contaminated groundwater by meshless local weak forms, Computers & Mathematics with Applications 72 (9) (2016) 2408–2416.
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M. Ilati, M. Dehghan, The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-gordon equations, Engineering Analysis with Boundary Elements 52 (2015) 99–109.
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M. Ilati, M. Dehghan, Meshless local weak form method based on a combined basis function for numerical investigation of Brusselator model and spike dynamics in the Gierer-Meinhardt system, Comput Model Eng Sci (CMES) 109 (4) (2015) 325–360.
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M. Ghaznavi, M. Ilati, E. Khorram , An interactive algorithm for solving multiobjective optimization problems based on a general scalarization technique, Iranian Journal of Numerical Analysis and Optimization 6 (2016) 79-101.
Conference Papers
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S. Eslami, M. Ilati, Application of local meshless moving kriging method for solving 2D nonlinear fractional Rayleigh—Stokes model, The 54th Annual Iranian Mathematics Conference, 23-25 August 2023, University of Zanjan, Iran.
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S. Eslami, M. Ilati, Numerical simulation of 2D modified anomalous fractional sub-diffusion equation by a local meshless method, The 53th Annual Iranian Mathematics Conference, 5-8 September 2022, University of Science and Technology of Mazandaran, Iran.
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M. Ilati, Numerical solution of generalized Gross-Pitaevskii equation by a meshless local method, The 52th Annual Iranian Mathematics Conference, 30 August-02 September 2021, Shahid Bahonar University of Kerman, Kerman, Iran.
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M. Ilati, A fast meshless method for solving coupled nonlinear advection-diffusion-reaction systems on irregular domains, The 51th Annual Iranian Mathematics Conference, 15-20 February 2021, University of Kashan, Kashan, Iran.
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M. Ilati, A low-cost MLPG technique for numerical simulation of multi-dimensional coupled damped nonlinear Schrödinger system, The 50th Annual Iranian Mathematics Conference, 26-29 August 2019, Shiraz University, Shiraz, Iran.
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M. Ilati, M. Dehghan, A new combined shape function for solving Brusselator model, The 48th Annual Iranian Mathematics Conference, 22-25 August 2017, Bu-Ali Sina University, Hamedan, Iran.
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M. Ilati, M. Dehghan, Numerical solution of Gray-Scott system by a low-cost meshless local weak form method, The 47th Annual Iranian Mathematics Conference, 28-31 August 2016, Kharazmi University, Karaj, Iran.
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B. A. Ghaznavi-ghosoni, M. Ilati, An Interactive Method for Solving Multi-objective Optimization Problems, 5th Iranian Conference on Applied Mathematics, 2-4 September 2013, Bu-Ali Sina University, Hamedan, Iran.
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M. Ilati, B. A. Ghaznavi-ghosoni, E. Khorram, A global interactive algorithm for multi-objective decision making, 6th International Conference of Iranian Operations Research Society, 8-9 May 2013, Research Center for Operations Research, Tehran, Iran.
Supervised MSc Theses
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Atefeh Golzari Khasraghi, Local meshless methods for numerical solution of partial integro-differential equations, January 2023.
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Samira Eslami, Meshless methods based on radial basis functions for solving fractional reaction-subdiffusion equations, February 2022.
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Fatemeh Sadaghian, Numerical solution of inverse partial differential equations by a local meshless method, October 2020.
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Fahimeh Azizi Heris, Meshless radial point interpolation method for solving nonlinear generalized Klein-Gordon equations, September 2020.
Academic Teaching Experience
B.Sc.
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Calculus 1, 2
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Differential Equations
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Numerical Computations
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Engineering mathematics
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Mathematical Softwares
M.Sc.
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Advanced Numerical Analysis
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Numerical Methods in Linear Algebra
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Numerical solution of Partial Differential Equations
Ph.D.
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The Theory of Finite Elements Method
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Finite Element Analysis
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Advanced topics in the numerical solution of PDEs
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Meshless Methods
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