@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} }