TY - EJOU AU - Chu, Hsin-Ping AU - Lo, Cheng-Ying TI - Application of the Differential Transform Method for Solving Periodic Solutions of Strongly Non-linear Oscillators T2 - Computer Modeling in Engineering \& Sciences PY - 2011 VL - 77 IS - 3&4 SN - 1526-1506 AB - 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. KW - Taylor series KW - differential transform KW - nonlinear equation DO - 10.3970/cmes.2011.077.161