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A new mathematical model of heat equations and its application on the agriculture soil

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Abstract (2. Language): 
The goal of this paper is to provide a mathematical model which based on numerical simulation applied to heat equations and comparing the obtained results with virtual temperatures results for di erent depths of the homogeneous agricultural soil. The model was treated through this research that enable to know the degree of soil temperature homogeneous without recourse to tools of measuring physical expensive. The importance of this lies in the agricultural seed germination at temperatures suitable.
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REFERENCES

References: 

[1] M. Ainsworth, Dispersive and dissipative behavior of high order Discontinuous
Galerkin nite element methods. Journal of Computational Physics, 198(1):106{130,
2004.
[2] A. Arakawa, V.R. Lamb, Computational design of the basic dynamical processes of
the UCLA general circulation model Methods Comput. Phys., 17:173{265.
[3] S. Boulaaras and M. Haiour. \L1-asymptotic behavior for a nite element approxi-
mation in parabolic quasi-variational inequalities related to impulse control problem",
Applied Mathematics and Computation, Vol. 217, No. 3, 2011, pp. 6443{6450,
[4] 15- S. Boulaaras , M. Haiour: A General Case for the Maximum Norm Analysis of an
Overlapping Schwarz Methods of Evolutionary HJB Equation with Nonlinear Source
Terms with the Mixed Boundary Conditions, Applied Mathematics & Information
Sciences 9(3): (2015)1247-1257
[5] J.H. Atkinson, J.J. Westerink, R.A. Luettich, Two dimensional dispersion analyses of
nite element approximations to the shallow water equations International Journal
for Numerical Methods in Fluids, 45:715{749, 2004.
[6] M.L. Batteen, Y.-J. Han, On the computational noise of nite-dierence schemes used
in ocean models Tellus, 33:387{396, 1981.
[7] J.-M. Beckers and E. Deleersnijder, Stability of a fbtcs scheme applied to the propa-
gation of shallow-water inertia-gravity waves on various space grids. Journal of Com-
putational Physics, 108:95{104, 1993.
[8] P.-E. Bernard, J.-F. Remacle, V. Legat and E. Deleersnijder, Dispersion analysis
of Discontinuous Galerkin Schemes applied to Poincare, Kelvin and Rossby waves
Journal of Scientic Computing, 34:26{47.
[9] B. Cushman-Roisin, Introduction to Geophysical Fluid Dynamics Prentice-Hall, 1994.
[10] P.G. Ciarlet, Introduction a l'analyse numerique matricielle et a l'optimisation Mas-
son, paris, 1990.
[11] J.K. Dukowicz Mesh eects for Rossby waves Journal of Computational Physics, 119:
188{194, 1995.
[12] R. Glowinski, Numerecal methods for Nolinear variational problems. Springer -Verlag,
1982.
[13] G. Guyot, Cours de Bioclimatologie, Chapitre II : Echanges de Chaleur et de Masse
par Conduction et Convection', INRA Bioclimatologie, BP. 91, Montfavet cedex,
1992.
[14] M. Boulbrachene, M. Haiour, The nite element approximation of Hamilton Jacobi
Bellman equations, Comput. Math. Appl. (2001) 41, 993-1007.
[15] R. Haxaire, `Caracterisation et Modelisation des Ecoulements d'Air dans une Serre ',
These de Doctorat de l'Universite de Nice, France, 1999.
[16] A. Majda. Introduction to PDE's and waves for the atmosphere and ocean . American
Mathematical Society, 2003.
[17] R.Nebbali et S. Makhlouf, Dtermination de la distribution du champ de tempratures
dans le sol, par un modle semi-analytique.Conditions aux limites pour les besoins de
simulation d.une serre de culture, Universit Mouloud Mammeri, 15000 Tizi-Ouzou,
Algrie. 2000.
[18] D.A. Randall Geostrophic Adjustment and the Finite-Dierence Shallow-Water Equa-
tions Monthly Weather Review, 122:1371{1377, 1994.
[19] V. Rostand, D.Y. Le Roux Raviart-Thomas and Brezzi-Douglas-Marini nite element
approximations of the shallow water equations International Journal for Numerical
Methods in Fluids, (published online), DOI:10.1002/
d.1668, 2007.
[20] L. White and E. Deleersnijder. Diagnoses of vertical transport in a three-dimensional
niteelement model of the tidal circulation around an island. Estuarine Coastal and
Shelf Science, 74:655{669, 2007.

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