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Your search keyword '"Cai, Xu"' showing total 3 results
Start Over Author "Cai, Xu" Journal computers & mathematics with applications Publisher elsevier b.v.
3 results on '"Cai, Xu"'

1. Application of the modified frequency formulation to a nonlinear oscillator

Author

Cai, Xu-Chu and Liu, Jun-Fang

Subjects
*NONLINEAR oscillators, *FREQUENCIES of oscillating systems, *NONLINEAR oscillations, *FREQUENCY response, *HARMONIC oscillators, *DUFFING oscillators
Abstract

Abstract: He’s frequency formulation is used to obtain the relationship between the frequency and amplitude of a nonlinear oscillator. The general approach is to choose two linear oscillators; in this paper, however, one linear oscillator and the Duffing oscillator are chosen as trial equations. The solution procedure is of utter simplicity, while the result is of high accuracy. [Copyright &y& Elsevier]

Published
2011
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2. Periodic solution of Jacobi elliptic equations by He’s perturbation method

Author

Cai, Xu-Chu and Li, Meng-Su

Subjects
*NONLINEAR waves, *THEORY of wave motion, *JACOBI method, *PERTURBATION theory, *APPROXIMATION theory
Abstract

He’s perturbation method is applied to the search for periodic solutions of Jacobi elliptic equations, which are widely studied in connection with nonlinear wave equations. [Copyright &y& Elsevier]

Published
2007
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3. He’s frequency formulation for the relativistic harmonic oscillator

Author

Cai, Xu-Chu and Wu, Wen-Ying

Subjects
*FREQUENCIES of oscillating systems, *PARTIAL differential equations, *NONLINEAR differential equations, *MATHEMATICAL analysis, *HARMONIC oscillators, *OSCILLATIONS
Abstract

Abstract: In this paper, He’s frequency formulation is used to solve the nonlinear differential equation that governs the oscillation of the relativistic oscillator. The obtained solution with high accuracy shows that He’s frequency formulation is a simple but promising method without any requirement for advanced calculus. [Copyright &y& Elsevier]

Published
2009
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