Open Access
2012 Enhanced Multistage Differential Transform Method: Application to the Population Models
Younghae Do, Bongsoo Jang
Abstr. Appl. Anal. 2012(SI12): 1-14 (2012). DOI: 10.1155/2012/253890


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).


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Younghae Do. Bongsoo Jang. "Enhanced Multistage Differential Transform Method: Application to the Population Models." Abstr. Appl. Anal. 2012 (SI12) 1 - 14, 2012.


Published: 2012
First available in Project Euclid: 1 April 2013

zbMATH: 1242.65151
MathSciNet: MR2926902
Digital Object Identifier: 10.1155/2012/253890

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI12 • 2012
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