Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Study of autonomous conservative oscillator using an improved
  perturbation method   In a recent article \cite{manimegalai2019}, Aboodh transform based homotopy
perturbation method ($AT$) has been found to produce approximate analytical
solutions in a simple way but with better accuracy in comparison to those
obtained from some of the established approximation methods
\cite{mehdipour2010application,nofal2013analytical} for some physically
relevant anharmonic oscillators such as autonomous conservative oscillator
(ACO). In the present article, expansion of frequency ($\omega$) and an
auxiliary parameter ($h$) are incorporated in the framework of the homotopy
perturbation method (HPM) to improve the accuracy by retaining its simplicity.
Laplace transform is used to make the calculation simpler. This improved HPM
($LH$) is simple but provides highly accurate results for ACO in comparison to
those obtained from $AT$. The error in the values of frequency and displacement
calculated using the $LH$ is found to be one or two order of magnitude less
than those obtained from $AT$ for the considered parameter sets.

15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics