Application of the elliptic balance method to a nonlinear singular oscillator

作者：Elias Zuniga Alex^*; Rodriguez Ciro A; Martinez Romero Oscar

来源：Applied Mathematics and Computation, 2012, 218(22): 11112-11117.

DOI：10.1016/j.amc.2012.04.067

• Jacobian elliptic functions
• Nonlinear oscillators
• Elliptic balance
• Harmonic balance
• Singular oscillator

New analytical approximate solutions based on Jacobi elliptic functions are formulated to compute the angular frequency value of a nonlinear singular oscillator. It is shown that when our derived analytical angular frequency solutions are compared to the exact angular frequency value, the third-order elliptic balance solution provides the best estimate to the exact value since the percentage error value is about 0.0059% which is 216 times lower than the best estimate percentage error value reported in the literature.

• 出版日期2012-7-15