Analytical Solutions for Rumor Spreading Dynamical Model in a Social Network
In this paper, Laplace Adomian decomposition method is utilized for evaluating of spreading model of rumor. Firstly, a succinct review is constructed on the subject of using analytical methods such as Adomian decomposion method, Variational iteration method and Homotopy Analysis method for...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
De Gruyter
2015-03-01
|
Series: | Nonlinear Engineering |
Subjects: | |
Online Access: | https://doi.org/10.1515/nleng-2014-0025 |
Summary: | In this paper, Laplace Adomian decomposition
method is utilized for evaluating of spreading model of rumor.
Firstly, a succinct review is constructed on the subject
of using analytical methods such as Adomian decomposion
method, Variational iteration method and Homotopy
Analysis method for epidemic models and biomathematics.
In continue a spreading model of rumor with consideration
of forgetting mechanism is assumed and subsequently
LADM is exerted for solving of it. By means of the
aforementioned method, a general solution is achieved for
this problem which can be readily employed for assessing
of rumor model without exerting any computer program.
In addition, obtained consequences for this problem
are discussed for different cases and parameters. Furthermore,
it is shown the method is so straightforward
and fruitful for analyzing equations which have complicated
terms same as rumor model. By employing numerical
methods, it is revealed LADM is so powerful and accurate
for eliciting solutions of this model. Eventually, it is
concluded that this method is so appropriate for this problem
and it can provide researchers a very powerful vehicle
for scrutinizing rumor models in diverse kinds of social
networks such as Facebook, YouTube, Flickr, LinkedIn
and Tuitor. |
---|---|
ISSN: | 2192-8010 2192-8029 |