Enhanced Multistage Differential Transform Method : Application to the Population Models

Joint Authors

Jang, Bongsoo
Do, Younghae

Source

Abstract and Applied Analysis

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

Mathematics

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