The stability of the Boubaker polynomials expansion scheme (BPES)-based solution to Lotka–Volterra problem

2011 ◽  
Vol 271 (1) ◽  
pp. 157-158 ◽  
Author(s):  
A. Milgram
Keyword(s):  
Boubaker Polynomials ◽  
The Stability ◽  
Expansion Scheme

A Boubaker polynomials expansion scheme (BPES)-related protocol for measuring sprayed thin films thermal characteristics

2009 ◽  
Vol 9 (5) ◽  
pp. 1129-1133 ◽  
Author(s):  
S. Lazzez ◽  
K.B. Ben Mahmoud ◽  
S. Abroug ◽  
F. Saadallah ◽  
M. Amlouk
Keyword(s):  
Thin Films ◽  
Thermal Characteristics ◽  
Boubaker Polynomials ◽  
Expansion Scheme

A NEW PARAMETER: AN ABACUS FOR OPTIMIZING PV–T HYBRID SOLAR DEVICE FUNCTIONAL MATERIALS USING THE BOUBAKER POLYNOMIALS EXPANSION SCHEME

2009 ◽  
Vol 23 (17) ◽  
pp. 2179-2191 ◽  
Author(s):  
S. FRIDJINE ◽  
M. AMLOUK
Keyword(s):  
Thermal Diffusivity ◽  
Thermal Efficiency ◽  
Functional Materials ◽  
Optical Performance ◽  
Fixed Amount ◽  
Boubaker Polynomials ◽  
Definition Of ◽  
Expansion Scheme

In this study, we define a synthetic parameter: optothermal expansivity as a quantitative guide to evaluating and optimizing both the thermal and the optical performance of PV–T functional materials. The definition of this parameter, ψ AB (Amlouk–Boubaker parameter), takes into account the thermal diffusivity and the optical effective absorptivity of the material. The values of this parameter, which seems to be a characteristic one, correspond to the total volume that contains a fixed amount of heat per unit time (m3 s-1) and can be considered as a 3D velocity of the transmitted heat inside the material. As the PV–T combined devices need to have simultaneous optical and thermal efficiency, we try to investigate some recently proposed materials (β- SnS 2, In 2 S 3, ZnS 1-x Se x|0 ≤x<0.5 and Zn -doped thioindate compounds) using the newly established ψ AB /Eg abacus.

Boubaker Polynomials Expansion Scheme Solution to the Heat Transfer Equation Inside Laser Heated Biological Tissues

2012 ◽  
Vol 134 (6) ◽  
Author(s):  
M. A. Aweda ◽  
M. Agida ◽  
M. Dada ◽  
O. B. Awojoyogbe ◽  
K. Isah ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Analytical Solution ◽  
Numerical Simulations ◽  
Laser Heating ◽  
Transfer Equation ◽  
Biological Tissues ◽  
Heat Transfer Equation ◽  
Boubaker Polynomials ◽  
Laser Heated ◽  
Expansion Scheme

In this study, an analytical solution to the heat transfer equation in biological tissues during laser heating is presented. The results were compared to recently published numerical simulations.

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