@Article{cmes.2011.077.161,
AUTHOR = {Hsin-Ping  Chu, Cheng-Ying  Lo},
TITLE = {Application of the Differential Transform Method for Solving Periodic Solutions of Strongly Non-linear Oscillators},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {77},
YEAR = {2011},
NUMBER = {3&4},
PAGES = {161--172},
URL = {http://www.techscience.com/CMES/v77n3&4/25716},
ISSN = {1526-1506},
ABSTRACT = {This paper presents the application of the differential transform method to solve strongly nonlinear equations with cubic nonlinearities and self-excitation terms. First, the equations are transformed by the differential transform method into the algebra equations in terms of the transformed functions. Secondly, the higher-order transformed functions are calculated in terms of other lower-order transformed functions through the iterative procedure. Finally, the solutions are approximated by the n-th partial sum of the infinite series obtained by the inverse differential transform. Two strongly nonlinear equations with different coefficients and initial conditions are given as illustrative examples.},
DOI = {10.3970/cmes.2011.077.161}
}