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APPROXIMATE SOLUTION OF P-RADICAL FUNCTIONAL EQUATION IN 2-BANACH SPACES

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Acta Mathematica Scientia 2019年第2期39卷 551-566页

作者： Muaadh ALMAHALEBI abdellatif CHAHBI Department of Mathematics Faculty of Sciences University of Ibn Tofail Department of Mathematics Faculty of Sciences University of Ibn Zohr

The aim of this paper is to introduce and solve the p-radical functional equation ■We also state an analogue of the fixed point theorem [12, Theorem 1] in 2-Banach spaces and investigate stability for this equation i... 详细信息

关键词： stability hyperstability 2-Banach spaces p-radical functional equations

3-D NUMERICAL SIMULATION OF CONVOY-GENERATED WAVES IN A RESTRICTED WATERWAY

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Journal of Hydrodynamics 2012年第3期24卷 420-429页

作者： OUAHSINE abdellatif SMAOUI Hassan SERGENT Philippe Université de Technologie de Compiègne Laboratoire Roberval UMR CNRS/UTC 7337 Centre de Recherches Royallieu BP 20529 60206 Compiègne cedex France CETMEF 2boulevard Gambetta BP 60039 60321 Compiègne Cedex France CETMEF 2 boulevard Gambetta BP 60039 60321 Compiègne Cedex France

We consider waves generated by the passing of convoys in a restricted waterway. The magnitude of these waves depends mainly on the geometrical and kinematical parameters of the convoy, such as the speed and the hull geometry. The objective of this study is to predict the relationship between these geometrical and kinematical parameters and the amplitude of ship-generated waves as well as the water plane drawdown. Numerical simulations are conducted by solving the 3-D Navier-Stokes equations along with the standard k-c model for turbulent processes. The results are compared first with the empirical model and second with experimental measurements performed by the French company Compagnie National du Rhone （CNR）.

关键词： ship-generated waves waterway CFD free surface gravity waves

SOURCE TERM IDENTIFICATION WITH DISCONTINUOUS DUAL RECIPROCITY A PPROXIM ATION AND QUASI-NEWTON METHOD FROM BOUNDARY OBSERVATIONS

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Journal of Computational Mathematics 2021年第3期39卷 311-332页

作者： EI Madkouri Abdessamad Ellabib abdellatif Faculty of science and technics Laboratory of applied mathematics and informaticsUniversity Cadi AyyadB.P.549Ao.Abdelkarim ElkhattabiMarrakech-40000Morocco

This paper deals with discontinuous dual reciprocity boundary element method for solving an inverse source *** aim of this work is to determine the source term in elliptic equations for nonhomogenous anisotropic media,where some additional boundary measurements are *** equivalent formulation to the primary inverse problem is established based on the minimization of a functional cost,where a regularization term is employed to eliminate the oscillations of the noisy ***,an efficient algorithm is presented and tested for some numerical examples.

关键词： Boundary element method Inverse source problem Quasi-Newton methods

Fenton treatment of olive oil mill wastewater—applicability of the method and parameters effects on the degradation process

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Journal of Environmental Sciences 2004年第6期16卷 942-944页

作者： Bensalah Nasr Bedoui Ahmed Gadri abdellatif Institut Supérieur des Sciences Appliquées et Technologie de Gabès Rue Amor Ibn Elkhattab Zrig 6072 Gabès TunisiaFaculté des Sciences de Gabès Cité Erriadh Zrig 6072 Gabès TunisiaEcole Nationale d'Ingénieurs de Gabès Zrig 6029 Gabès Tunisia

The low biodegradability of polyphenolic compounds typically found in olive processing indicated that biological treatment is not always successful in the treatment of olive oil mill wastewater in term of COD removal. In this study the results of investigations on the applicability of Fenton's reagent in the treatment of this effluent were discussed. The efficiency of this method was determined. 86 % of removal COD was obtained using 5 mol H 2O 2 and 0.4 mol Fe 2+ per liter of crude OMW. The main parameters that govern the complex reactive system, i.e., time, pH, [H 2O 2] and [Fe(II)] were studied.

关键词： olive oil mill wastewater Fenton's reagent organic compounds removal COD

A New Variant of Wilson's Functional Equation on Monoids

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Acta Mathematica Sinica,English Series 2022年第8期38卷 1303-1316页

作者： Hajira DIMOU Elhoucien ELQORACHI abdellatif CHAHBI Laboratory EEFA Faculty of Applied SciencesIbn Zohr UniversityAgadirMorocco Laboratory EEFA Department of MathematicsFaculty of SciencesIbn Zohr UniversityAgadirMorocco

We find on a monoid M the complex-valued solutions f,g:M→C such that f is central and g is continuous of the functional equation f(xσ(y))+f(τ(y)x)=2f(x)g(y),x,y∈M,whereσ:M→M is an involutive automorphism andτ:M→M is an involutive *** solutions are described in terms of multiplicative functions,additive functions and characters of2-dimensional representations of M.

关键词： Monoid functional equation d'Alembert's equation involutive automorphism multiplicative function anti-automorphism

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Simulation and computational heat transfer in the human eye with Dirichlet–Neumann domain decomposition approximation

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International Journal of Modeling, Simulation, and Scientific Computing 2019年第6期10卷 107-128页

作者： Salem Ahmedou Bamba abdellatif Ellabib Universite Cadi Ayyad Laboratoire de Mathematiques Appliquees et Informatique Faculte des Sciences et Techniques Marrakech Avenue Abdelkrim El Khttabi B.P.549 Morocco

In this paper,a bioheat model of temperature distribution in the human eye is studied,the mathematical formulation of this model is described using adequate mathematical *** existence and the uniqueness of the solution of this problem is proven and four algorithms based on finite element method approximation and domain decomposition methods are presented in *** validation of all algorithm is done using a numerical application for an example where the analytical solution is *** properties and parameters reported in the open literature for the human eye are used to approximate numerically the temperature for bioheat model by finite element approximation and nonoverlapping domain decomposition *** obtained results that are verified using the experimental results recorded in the literature revealed a better accuracy by the use of algorithm proposed.

关键词： Nonoverlapping domain decomposition human eye bioheat transfer finite element computation

Nonoverlapping Dirichlet-Neumann method for transient bioheat transfer in the human eye

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International Journal of Biomathematics 2020年第5期13卷 97-124页

This paper presents a 2D simulation of transient heat transfer in the human eye using appropriate boundary *** mathematical model governing bioheat transfer in the human eye is discussed and the existence and uniqueness of the solution are *** methods based on finite element method and nonoverlapping domain decomposition method to obtain transient heat transfer in the human eye are presented and described in *** conducting numerous simulations using realistic parameters obtained from the open literature and after comparison with measurements reported by previous experimental studies,all proposed methods gave an accurate representation of transient heat transfer in the human *** results obtained by the domain decomposition of the human eye into four subdomains are found to be the closest to reality.

关键词： Nonoverlapping domain decomposition human eye bioheat transfer finite element met hod

3D Modeling of sediment movement by ships-generated wakes in confined shipping channel

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International Journal of Sediment Research 2014年第1期29卷 49-58页

作者： Shengcheng JI abdellatif OUAHSINE Hassan SMAOUI Philippe SERGENT Université de Technologie de Compiègne Laboratoire RobervalUMR CNRS 7337Centre de recherche Royallieu Université de Technologie de Compiègne LHN(CETMEF)/Laboratoire Roberval UMR CNRS 7337Centre de recherche Royallieu

Ship-generated waves and return currents are capable of re-suspending significant quantities of bottom and bank ***,most of the previous studies done on the subject do not show how and where sediment is re-suspended by the wakes and the directions of net *** this paper,a 3D numerical model based on hydro-sedimentary coupling is presented to search the relationship between the sediment movement,and the pattern of ship-generated waves around and far away from the vessel and the return currents around the *** hydrodynamic model is based on 3D Navier-Stokes equations including the standard k-ε model for turbulence processes,and the sediment transport model is based on a 3D equation for the re-suspended sediment *** computation results show that the areas of sediment concentration and transport(whether by resuspension or by the bedload) depend mainly on the position,the speed of the ship in the waterways,the kinematics of ship-generated waves and on the return ***,a map of sediment distribution and the modes of sediment transport generated by the passage of the ship are presented.

关键词： Sediment transport Waterway Ship waves CFD

A Partitioning Methodology That Optimizes the Communication Cost for Reconfigurable Computing Systems

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International Journal of Automation and computing 2012年第3期9卷 280-287页

作者： Ramzi Ayadi Bouraoui Ouni abdellatif Mtibaa Laboratory of Electronics and Microelectronics Faculty of Science of Monastir University of Monastir Department of Electrical Engineering National Engineering School of Monastir University of Monastir

This paper focuses on the design process for reconfigurable architecture. Our contribution focuses on introducing a new temporal partitioning algorithm. Our algorithm is based on typical mathematic flow to solve the temporal partitioning problem. This algorithm optimizes the transfer of data required between design partitions and the reconfiguration overhead. Results show that our algorithm considerably decreases the communication cost and the latency compared with other well known algorithms.

关键词： Temporal partitioning data flow graph communication cost reconfigurable computing systems field-programmable gate array (FPGA)