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استاذ مساعد
كلية العلوم
البصرة حي الزهراء
دكتوراه
40 سنة
07726194438
numerical analysis
العراق -ميسان
الرياضيات

Numerical analysis

1- A. J. Harfash, High accuracy finite difference scheme for three-dimensional microscale heat equation, {it Journal of Computational and Applied Mathematics} 220, 335-346 (2008).

2- A. J. Harfash and B. Straughan, Magnetic effect on instability and nonlinear stability in a reacting fluid, {it Meccanica.} {bf 47}, 1849-1857 (2012).
3- A. J. Harfash, Magnetic effect on instability and nonlinear stability of double diffusive convection in a reacting fluid, {it Continuum Mech. Thermodyn.} {bf 25}, 89-106 (2013).

4- B. Straughan and A. J. Harfash, Instability in Poiseuille flow in a porous medium with slip boundary conditions, {it Microfluid Nanofluid} {bf 15}, 109-115 (2013).
5- A. J. Harfash, Three dimensions simulation for the problem of a layer of non-Boussinesq fluid heated internally with prescribed heat flux on the lower boundary and constant temperature upper surface. {it Int. J. Engng. Sci.} {bf 74}, 91-102 (2014).

6- A. J. Harfash, Three-dimensional simulations for convection in a porous medium with internal heat source and variable gravity effects. {it Transp. Porous Media} {bf 101}, 281-297 (2014).

7- A. J. Harfash, Three dimensional simulation of radiation induced convection. {it Appl. Math. and Computation} {bf 227}, 92-101 (2014).
8- A. J. Harfash, Three-dimensional simulations for convection problem in anisotropic porous media with nonhomogeneous porosity, thermal diffusivity, and variable gravity effects. {it Transp. Porous Media}, {bf 102}, 43-57 (2014).
9- A. J. Harfash, Three dimensional simulations for penetrative convection in a porous medium with internal heat sources. {it Acta Mechanica Sinica} {bf 30}, 144-152 (2014).
10- A. J. Harfash, Convection in a porous medium with variable gravity field and magnetic field effects. {it Transp. Porous Media}, {bf 103}, 361-379 (2014).

10- A. J. Harfash, Stability analysis of penetrative convection in anisotropic porous media with variable permeability. {it J. Non-Equilib. Thermodyn.} 39, 123-133 (2014).
11- A. J. Harfash, Magnetic effect on convection in a porous medium with chemical reaction effect. {it Transp. Porous Media} 106, 163-179 (2015).

12- A. J. Harfash, A. A. Hill, Simulation of three dimensional double-diffusive throughflow in internally heated anisotropic porous media. {it Int. J. Heat Mass Trans.} {bf 72}, 609-615 (2014).
13- A. J. Harfash, Structural stability for convection models in a reacting porous medium with magnetic field effect, {it Ricerche mat.} {bf 63}, 1-13 (2014).

14- A. J. Harfash, Structural stability for two convection models in a reacting fluid with magnetic field effect, {it Ann. Henri Poincar'{e}} 15, 2441-2465 (2014).

15- A. J. Harfash, Continuous dependence on the coefficients for double diffusive convection in Darcy flow with Magnetic field effect, {it Anal. Math. Phys.} {bf 3}, 163-181 (2013).

16- A. J. Harfash, Three dimensional simulations and stability analysis for convection induced by absorption of radiation. {it International Journal of Numerical Methods for Heat and Fluid Flow} 25, 810-824 (2015).

17- A. J. Harfash, A. K. Alshara, Three-dimensional simulation for problem of penetrative convection near the maximum density. {it Journal of Hydrodynamics} 27, 292-303 (2015).

18- A. J. Harfash, A. K. Alshara, Chemical reaction effect on double diffusive convection in porous media with magnetic and variable gravity effects. {it The Korean Journal of Chemical Engineering} 32, 1046-1059 (2015).

19- A. J. Harfash, A. K. Alshara, Magnetic field and throughflow effects on double-diffusive convection in internally heated anisotropic porous media. {it The Korean Journal of Chemical Engineering} 32, 1970-1985 (2015).

20- A. J. Harfash, A. K. Alshara, A direct comparison between the negative and positive effects of throughflow on the thermal convection in an anisotropy and symmetry porous medium. {it Zeitschrift Fur Naturforschung A} 70, 383-394 (2015).

21- A. J. Harfash, Numerical methods for solving some hydrodynamic stability problems. {it Int. J. Appl. Comput. Math} 1, 293–326 (2015).

22- A. J. Harfash, Three dimensional simulations for convection induced by the selective absorption of radiation for the Brinkman model. {it Meccanica.} 51, 501-515 (2016).

23- A. J. Harfash, A. K. Alshara, On the stationary and oscillatory modes of triply resonant penetrative convection. In press, {it International Journal of Numerical Methods for Heat and Fluid Flow} 26, 1391 - 1415 (2016).

24- A. J. Harfash, Resonant penetrative convection in porous media with an internal heat source/sink effect. {it Appl. Math. and Computation} 281, 323-342 (2016).

25- A. J. Harfash, Stability analysis for penetrative convection in a fluid layer with throughflow. {it International Journal of Modern Physics C} 27(8), 1650101 (2016).
27- A. J. Harfash, Nonhomogeneous Porosity and Thermal Diffusivity Effects on a Double-Diffusive Convection in Anisotropic Porous Media. {it International Journal of Nonlinear Sciences and Numerical Simulation} 17, 205–220 (2016).

Fundamental Mathematics, Calculus, Advance Calculus, Linear Algebra,
Mathematical statistic,
Numerical analysis,
Applied Mathematicsو
PDEs,
Advanced Finite difference method (postgraduate level), Advanced Finite elements method (postgraduate level)

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