Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical Approach For Solving Population Balances: A Homotopy
  Perturbation Method   In the present work, a new approach is proposed for finding the analytical
solution of population balances. This approach is relying on idea of Homotopy
Perturbation Method (HPM). The HPM solves both linear and nonlinear initial and
boundary value problems without nonphysical restrictive assumptions such as
linearization and discretization. It gives the solution in the form of series
with easily computable solution components. The outcome of this study reveals
that the proposed method can avoid numerical stability problems which often
characterize in general numerical techniques related to this area. Several
examples including Austin's kernel available in literature are examined to
demonstrate the accuracy and applicability of the proposed method.

9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th