M. FERHAT ET AL.

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4. Conclusion

We are now ready to treat more complex problems of

greater relevance to chemical engineering practice. We

begin with the study of initial value problems (IVPs) of

ordinary differential equations (ODEs), in which we

compute the trajectory in time of a set of N variables xi(t)

governed by the set of first-order ODEs. We start the

simulation, usually at t0 = 0, at the initial condition, x(t0)

= x[0]. Such problems arise commonly in the study of

chemical kinetics or process dynamics. While we have

interpreted above the variable of integration to be time

[15-19], it might be another variable such as a spatial

coordinate. The following curves is produced upon exe-

cution, to be able to solve higher order ODE’s in MAT-

LAB, they must be written in terms of a system of first

order ordinary differential equations. We have success-

fully designed, built and tested a in Military applications

DF generator for a chemical H-F or DF laser A laser

powered by an array of μSOG chips would be useful for

a variety of industrial applications. The comparison of

the results of numerical simulations performed with the

use of our model with the results of experimental studies.

5. Acknowledgements

This work has been supported by the Project CNEPRU

under Grant No. ID 0142009011 and the Laboratory

LARHYSS University of Biskra through Project We

should like to acknowledge the substantial research sup-

port provided by the M-E-S-R-S Office of Scientific Re-

search for the laser study conducted at the University of

Biskra represented by references._PNR-LARHYSS.

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