Dr. Farzad  Khani
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Dr. Farzad Khani

Lecturer
Ilam University, Iran


Highest Degree
Ph.D. in Mathematics from Ilam University, Iran

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Area of Interest:

Mathematics
100%
Linear Algebra
62%
Finite Element Method
90%
Fuzzy Mathematics
75%
Applied Mathematics
55%

Research Publications in Numbers

Books
0
Chapters
0
Articles
0
Abstracts
0

Selected Publications

  1. Khani, F., M.T. Darvishi and R.S.R. Gorla, 2011. Analytical investigation for cooling turbine disks with a non-Newtonian viscoelastic fluid. Comput. Math. Appl., 61: 1728-1738.
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  2. Khani, F., A. Aziz and S. Hamedi-Nezhad, 2011. Simultaneous heat and mass transfer in natural convection about an isothermal vertical plate. J. King Saud Univ. (Science), (In press), 10.1016/j.jksus.2010.09.002.
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  3. Darvishi, M.T., F. Khani, A.M. Godarzi and H. Tian, 2011. Symmetric modified AOR method to solve systems of linear equations. J. Applied Math. Comput., 36: 41-59.
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  4. Aziz, A. and F. Khani, 2011. Convection-radiation from a continuously moving fin of variable thermal conductivity. J. Franklin Inst., 348: 640-651.
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  5. Khani, F. and A. Aziz, 2010. Thermal analysis of a longitudinal trapezoidal fin with temperature-dependent thermal conductivity and heat transfer coefficient. Commun. Nonlinear Sci. Numerical Simulation, 15: 590-601.
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  6. Darvishi, M.T., F. Khani, S. Hamedi-Nezhad and S.W. Ryu, 2010. New modification of the HPM for numerical solutions of the sine-Gordon and coupled sine-Gordon equations. Int. J. Comput. Math., 87: 908-919.
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  7. Darvishi, M.T., F. Khani and A. Aziz, 2010. Analytical solution of coupledradiation-convection dissipative non-gray gasflow in a non-darcy porous medium. J. Applied Math. Inform., 28: 1203-1216.
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  8. Aziz, A., F. Khani and M.T. Darvishi, 2010. Homotopy analysis method for variable thermal conductivityheat flux gage with edge contact resistance. Z. Naturforsch., 65: 771-776.
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  9. Aziz, A. and F. Khani, 2010. Analytic solutions for a rotating radial fin of rectangular and various convex parabolic profiles. Commun. Nonlinear Sci. Numerical Simulation, 15: 1565-1574.
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  10. Molabahrami, A. and F. Khani, 2009. The homotopy analysis method to solve the Burgers-Huxley equation. Nonlinear Anal. Real World Appl., 10: 589-600.
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  11. Khani, F., S. Hamedi-Nezhad, M.T. Darvishi and S.W. Ryu, 2009. New solitary wave and periodic solutions of the foam drainage equation using the Exp-function method. Nonlinear Anal. Real World Appl., 10: 1904-1911.
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  12. Khani, F., M.A. Raji and S. Hamedi-Nezhad, 2009. A series solution of the fin problem with a temperature-dependent thermal conductivity. Commun. Nonlinear Sci. Numerical Simulation, 14: 3007-3017.
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  13. Khani, F., M.A. Raji and H.H. Nejad, 2009. Analytical solutions and efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient. Commun. Nonlinear Sci. Numerical Simulation, 14: 3327-3338.
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  14. Khani, F., F. Samadi and S. Hamedi-Nezhad, 2009. New exact solutions of the brusselator reaction diffusion model using the exp-function method. Math. Problems Eng., Vol. 2009, 10.1155/2009/346461.
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  15. Khani, F., A. Farmany, M.A. Raji, A. Aziz and F. Samadi, 2009. Analytic solution for heat transfer of a third grade viscoelastic fluid in non-Darcy porous media with thermophysical effects. Commun. Nonlinear Sci. Numerical Simulation, 14: 3867-3878.
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  16. Khani, F., 2009. Analytic study on the higher order Ito equations: New solitary wave solutions using the Exp-function method. Chaos, Solitons Fractals, 41: 2128-2134.
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  17. Khani, F. and S. Hamedi-Nezhad, 2009. Some new exact solutions of the (2+1)-dimensional variable coefficient Broer-Kaup system using the Exp-function method. Comput. Math. Appl., 58: 2325-2329.
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  18. Farmany, A., S. Abbasi, M.T. Darvishi, F. Khani and A. Naghipour, 2009. Minimal length uncertainty and generalized non-commutative geometry. Chaos Solitons Fractals, 42: 2833-2835.
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  19. Farmany, A., S. Abbasi, F. Khani and S.S. Mortazavi, 2009. Deformed time: Energy uncertainty in string theory. Chaos, Solitons Fractals, 42: 1097-1099.
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  20. Darvishi, M.T. and F. Khani, 2009. Numerical and explicit solutions of the fifth-order Korteweg-de Vries equations. Chaos, Solitons Fractals, 39: 2484-2490.
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  21. Darvishi, M.T. and F. Khani, 2009. A series solution of the foam drainage equation. Comput. Math. Appl., 58: 360-368.
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  22. Molabahrami, A. and F. Khani, 2008. Numerical solutions of highly oscillatory integrals. Applied Math. Comput., 198: 657-664.
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  23. Darvishi, M.T., S. Kheybari and F. Khani, 2008. Spectral collocation method and Darvishi’s preconditionings to solve the generalized Burgers-Huxley equation. Commun. Nonlinear Sci. Numerical Simulation, 13: 2091-2103.
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  24. Darvishi, M.T., F. Khani, S. Hamedi-Nezhad and B. Zheng, 2008. Symmetric block-SOR methods for rank-deficient least squares problems. J. Comput. Applied Math., 215: 14-27.
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  25. Darvishi, M.T. and F. Khani, 2008. Application of He’s homotopy perturbation method to stiff systemsof ordinary differential equations. Z. Naturforsch, 63: 19-23.
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  26. Molabahrami, A., F. Khani and S. Hamedi-Nezhad, 2007. Soliton solutions of the two-dimensional KdV-Burgers equation by homotopy perturbation method. Phys. Lett. A, 370: 433-436.
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  27. Khani, F., S. Hamedi-Nezhad and A. Molabahrami, 2007. A reliable treatment for nonlinear Schrodinger equations. Phys. Lett. A, 371: 234-240.
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  28. Darvishia, M.T., S. Kheybaria and F. Khani, 2007. A Numerical solution of the Lax’s 7th-orderKdV equation by pseudospectral methodand Darvishi’s preconditioning. Int. J. Contemp. Math. Sci., 2: 1097-1106.
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  29. Darvishi, M.T., F. Khani and S. Kheybari, 2007. Spectral collocation solution of a generalized Hirota-Satsuma coupled KdV equation. Int. J. Comput. Math., 84: 541-551.
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  30. Darvishi, M.T., F. Khani and A.A. Soliman, 2007. The numerical simulation for stiff systems of ordinary differential equations. Comput. Math. Appl., 54: 1055-1063.
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  31. Darvishi, M.T., S. Kheybari and F. Khani, 2006. A numerical solution of the Korteweg-de Vries equation by pseudospectral method using Darvishi’s preconditionings. Applied Math. Comput., 182: 98-105.
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