Dr. Maryam Mohammadi

Department of Mathematics, Kharazmi University, Iran.

Email: maryam.mohammadi@unipd.it

Qualifications

2009 Ph.D., Applied Mathematics., Isfahan University of Technology, Iran

2006 MSc., Applied Mathematics., Isfahan University of Technology, Iran

2001 BSc., Applied Mathematics., Isfahan University of Technology, Iran

Publications (Selected)

1. R. Mokhtari, and M. Mohammadi. Some remarks on the Variational Iteration Method. Int. J.Nonlinear Sci. Numer. Simul., 10:67-74, 2009.
2. R. Mokhtari, and M. Mohammadi. New exact solutions to a class of coupled nonlinear PDEs.Int. J. Nonlinear Sci. Numer. Simul., 10:776-796, 2009.
3. R. Mokhtari, and M. Mohammadi. Numerical solution of GRLW equation using Sinc-collocation method. Comput. Phys. Comm., 81:1266-1274, 2010.
4. M. Mohammadi, and R. Mokhtari. Solving the generalized regularized long wave equation on the basis of a reproducing kernel space. J. Comput. Appl. Math., 14:4003-4014, 2011.
5. R. Mokhtari, F. Toutian Isfahani, and M. Mohammadi. Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations. Abs. Appl. Anal. 2012, Article ID 514103.
6. M. Mohammadi, R. Mokhtari, and H. Panahipour. A Galerkin-reproducing kernel method: application to the 2D nonlinear coupled Burgers’ equations. Eng. Anal. Bound. Elem., 37 (2013) 1643-1652.
7. M. Mohammadi, and R. Mokhtari. A new algorithm for solving nonlinear Schrödinger equation in the reproducing kernel space. Iran. J. Sci. Technol. Trans. A Sci., 37 (2013) 513-526.
8. M. Mohammadi, and R. Mokhtari. A reproducing kernel method for solving a class of nonlinear systems of PDEs. Math. Model. Anal., 19 (2014) 180-198.
9. M. Mohammadi, R. Mokhtari, and H. Panahipour. Solving two parabolic inverse problems with a nonlocal boundary condition in the reproducing kernel space. Appl. Comput. Math., 13 (2014) 91-106.
10. M. Mohammadi, R. Mokhtari, and F. Toutian Isfahani. Solving an inverse problem for a parabolic equation with a nonlocal boundary condition in the reproducing kernel space. Iranian Journal of Numerical Analysis and Optimization, 4 (2014) 57-76.
11. M. Mohammadi, R. Mokhtari, and R. Schaback. A meshless method for solving the 2D Brusselator reaction-diffusion system. Computer Modeling in Engineering & Sciences, 101 (2014) 113-138.
12. H. Rafieayan Zadeh, M. Mohammadi, and E. Babolian. Solving a class of PDEs by a local reproducing kernel method with an adaptive residual subsampling technique. Computer Modeling in Engineering & Sciences, 108 (2015) 375-396.
13. F. Saberi Zafarghandi, M. Mohammadi, E. Babolian, and S. Javadi. A localized Newton basis functions meshless method for the numerical solution of the 2D nonlinear coupled Burgers’ equations. Internat. J. Numer. Methods Heat Fluid Flow., 27 (2016) 2582-2602.
14. M. Mohammadi, and R. Schaback. Convergence analysis of general spectral methods. J. Comput. Appl. Math., 313 (2017) 284-293.
15. M. Mohammadi, F. Saberi Zafarghandi, E. Babolian, and S. Javadi. A local reproducing kernel method accompanied by some different edge improvement techniques: application to the Burgers’ equation. Iran. J. Sci. Technol. Trans. A Sci., 42 (2018) 857-871.
16. H. Nojavan, S. Abbasbandy, and M. Mohammadi. Local variably scaled Newton basis functions collocation method for solving Burgers’ equation. Appl. Math. Comput., 330 (2018) 23-41.
17. F. Toutian Isfahani, R. Mokhtari, G.B. Loghmani, and M. Mohammadi. Numerical solution of some initial optimal control problems using the reproducing kernel Hilbert space technique. Int. J. Control., doi:10.1080/00207179.2018.1506888.
18. F. Saberi Zafarghandi, M. Mohammadi, E. Babolian, and S. Javadi. Radial basis functions method for solving the fractional diffusion equations. Appl. Math. Comput., 342:224-246, 2019.
19. M. Mohammadi, and M. Bahrkazemi. Bases for polynomial-based spaces. Journal of Mathematical Modeling, 7:21-34, 2019.
20. F. Saberi Zafarghandi, M. Mohammadi, and R. Schaback. On the fractional derivatives of radial basis functions: Theories and applications. Math. Meth. Appl. Sci., 42:3877-3899, 2019.

Personal Website:

https://scholar.google.com/citations?user=aWK49M0AAAAJ&hl=en