ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, vol.4, no.4, pp.422-438, 2012 (SCI-Expanded)
Article / Article
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Non-linear oscillatory systems, differential transform method, numerical solution, BOUNDARY-VALUE-PROBLEMS, EQUATIONS
Ondokuz Mayıs University Affiliated:
In this paper, a reliable algorithm based on an adaptation of the standard differential transform method is presented, which is the multi-step differential transform method (MSDTM). The solutions of non-linear oscillators were obtained by MSDTM. Figurative comparisons between the MSDTM and the classical fourth-order Runge-Kutta method (RK4) reveal that the proposed technique is a promising tool to solve non-linear oscillators.