Journal
NONLINEAR ANALYSIS-HYBRID SYSTEMS
Volume 4, Issue 3, Pages 425-431Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2009.10.006
Keywords
Differential transform method; Laplace transform method; System of differential equations
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The differential transform method is one of the approximate methods which can be easily applied to many linear and nonlinear problems and is capable of reducing the size of computational work. Exact solutions can also be achieved by the known forms of the series solutions. In this paper, we present the definition and operation of the one-dimensional differential transform and investigate the particular exact solutions of system of ordinary differential equations that usually arise in mathematical biology by a one-dimensional differential transform method. The numerical results of the present method are presented and compared with the exact solutions that are calculated by the Laplace transform method. Published by Elsevier Ltd
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