Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
760066 | Communications in Nonlinear Science and Numerical Simulation | 2009 | 6 Pages |
Abstract
The aim of this paper is to investigate the accuracy of the differential transformation method (DTM) for solving the hyperchaotic Rössler system, which is a four-dimensional system of ODEs with quadratic nonlinearities. Comparisons between the DTM solutions and the fourth-order Runge–Kutta (RK4) solutions are made. The DTM scheme obtained from the DTM yields an analytical solution in the form of a rapidly convergent series. The direct symbolic-numeric scheme is shown to be efficient and accurate.
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Authors
M. Mossa Al-Sawalha, M.S.M. Noorani,