Application of the differential transformation method to a non-linear conservative system

Applied Mathematics and Computation

Volumn 154, Issue 2, 2004, Pages 431-441

  Chen, Cha'o Kuang ^a   Chen, Shih Shin ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; OSCILLATIONS; PROBLEM SOLVING; RUNGE KUTTA METHODS; VIBRATIONS (MECHANICAL);

DIFFERENTIAL TRANSFORMATIONS; FREE VIBRATIONS; NON-LINEAR CONSERVATIVE SYSTEM;

DIFFERENCE EQUATIONS;

EID: 2942741305     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(03)00723-9     Document Type: Article

References (6)

1. Nayfeh A.H., Mook T.D. Nonlinear Oscillations. 1979;John Wiley, New York.
2. Hamden M.N., Shabaneh N.H. On the period of large amplitude free vibration of conservative autonomous oscillators with static and inertia type cubic non-linearities. Journal of Sound and Vibration. 199:1997;737-750.
3. Chiou J.S., Tzeng J.R. Application of the taylor transform to nonlinear vibration problems. Transaction of the American Society of Mechanical Engineers, Journal of Vibration and Acoustics. 118:1996;83-87.
4. Jang M.J., Chen C.L., Liu Y.C. Two-dimensional differential transform for partial differential equations. Applied Mathematics and Computation. 121:2001;261-270.
5. Abdel-Halim Hassan I.H. On solving some eigenvalue-problems by using a differential transformation. Applied Mathematics and Computation. 127:2002;1-22.
6. Zhou X. Differential Transformation and its Applications for Electrical Circuits. 1986;Huazhong University Press, Wuhan, China. (in Chinese).