Modified Differential Transform Method for Solving the Model of Pollution for a System of Lakes
Joint Authors
Benhammouda, B.
Vazquez-Leal, Hector
Hernandez-Martinez, Luis
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-14
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This work presents the application of the differential transform method (DTM) to the model of pollution for a system of three lakes interconnected by channels.
Three input models (periodic, exponentially decaying, and linear) are solved to show that DTM can provide analytical solutions of pollution model in convergent series form.
In addition, we present the posttreatment of the power series solutions with the Laplace-Padé resummation method as a useful strategy to extend the domain of convergence of the approximate solutions.
The Fehlberg fourth-fifth order Runge-Kutta method with degree four interpolant (RKF45) numerical solution of the lakes system problem is used as a reference to compare with the analytical approximations showing the high accuracy of the results.
The main advantage of the proposed technique is that it is based on a few straightforward steps and does not generate secular terms or depend of a perturbation parameter.
American Psychological Association (APA)
Benhammouda, B.& Vazquez-Leal, Hector& Hernandez-Martinez, Luis. 2014. Modified Differential Transform Method for Solving the Model of Pollution for a System of Lakes. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1017943
Modern Language Association (MLA)
Benhammouda, B.…[et al.]. Modified Differential Transform Method for Solving the Model of Pollution for a System of Lakes. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1017943
American Medical Association (AMA)
Benhammouda, B.& Vazquez-Leal, Hector& Hernandez-Martinez, Luis. Modified Differential Transform Method for Solving the Model of Pollution for a System of Lakes. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1017943
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1017943