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Computationally efficient solution of population balance models incorporating nucleation, growth, and coagulation: Application to emulsion polymerization.
Solution of population balances with breakage and agglomeration by high order moment-conserving method of classes.
Solution of population balances with growth and nucleation by high order moment-conserving method of classes.
A general high-order method of classes framework for numerical solution of population balances is developed and tested.
The Monte Carlo methods have been an effective tool for the numerical solution of population balance models (PBMs).
A numerical scheme is proposed for the solution of population balance equations that describe the growth of faceted crystals.
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x i and x r1 are different solutions of population.
In [4, 18] unification of the existence of periodic solutions of population models modeled by ordinary differential equations and their discrete analogues in the form of difference equations and extension of these results to more general time scales is studied.
Chemical Engineering Science 62, 4112 4125] to solve n-dimensional population balance equations (PBEs) with preservation of (n+1) instead of 2n properties required in direct extension of the 1-d fixed pivot technique of Kumar and Ramkrishna [1996a. On the solutions of population balance equation by discretization-I. A fixed pivot technique. Chemical Engineering Science 51, 1311 1332].
By using the solution of one population, a new population is formed.
After applying the crossover and mutation, new population is generated and the worst solution of new population is replaced with the preserved best solution.
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