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Jang, Bongsoo
Computational Mathematical Science Lab (CMS Lab)
Research Interests
  • Numerical analysis, dynamics, fractional systems, data sciences

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Enhanced Multistage Differential Transform Method: Application to the Population Models

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Title
Enhanced Multistage Differential Transform Method: Application to the Population Models
Author
Do, YounghaeJang, Bongsoo
Keywords
VARIATIONAL ITERATION METHOD; INITIAL-VALUE PROBLEMS; APPROXIMATE SOLUTION; EQUATIONS; SYSTEM; INFECTION
Issue Date
2012
Publisher
HINDAWI PUBLISHING CORPORATION
Citation
ABSTRACT AND APPLIED ANALYSIS, v.2012, no., pp.1 - 14
Abstract
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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DOI
http://dx.doi.org/10.1155/2012/253890
ISSN
1085-3375
Appears in Collections:
SNS_Journal Papers
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