Enhanced Multistage Differential Transform Method : Application to the Population Models
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-04
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We present an efficient computational algorithm, namely, the enhanced multistage differential transform method (E-MsDTM) for solving prey-predator systems.
Since the differential transform method (DTM) is based on the Taylor series, it is difficult to obtain accurate approximate solutions in large domain.
To overcome this difficulty, the multistage differential transform method (MsDTM) has been introduced and succeeded to have reliable approximate solutions for many problems.
In MsDTM, it is the key to update an initial condition in each subdomain.
The standard MsDTM utilizes the approximate solution directly to assign the new initial value.
Because of local convergence of the Taylor series, the error is accumulated in a large domain.
In E-MsDTM, we propose the new technique to update an initial condition by using integral operator.
To demonstrate efficiency of the proposed method, several numerical tests are performed and compared with ones obtained by other numerical methods such as MsDTM, multistage variational iteration method (MVIM), and fourth-order Runge-Kutta method (RK4).
American Psychological Association (APA)
Do, Younghae& Jang, Bongsoo. 2012. Enhanced Multistage Differential Transform Method : Application to the Population Models. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-457703
Modern Language Association (MLA)
Do, Younghae& Jang, Bongsoo. Enhanced Multistage Differential Transform Method : Application to the Population Models. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-457703
American Medical Association (AMA)
Do, Younghae& Jang, Bongsoo. Enhanced Multistage Differential Transform Method : Application to the Population Models. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-457703
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457703