Highly Accurate Analytical Approximate Solution to a Nonlinear Pseudo-Oscillator

  title={Highly Accurate Analytical Approximate Solution to a Nonlinear Pseudo-Oscillator},
  author={Baisheng Wu and Weijia Liu and Chae Whan Lim},
  journal={Zeitschrift f{\"u}r Naturforschung A},
  pages={673 - 676}
  • Baisheng Wu, Weijia Liu, Chae Whan Lim
  • Published 2017
  • Chemistry
  • Abstract A second-order Newton method is presented to construct analytical approximate solutions to a nonlinear pseudo-oscillator in which the restoring force is inversely proportional to the dependent variable. The nonlinear equation is first expressed in a specific form, and it is then solved in two steps, a predictor and a corrector step. In each step, the harmonic balance method is used in an appropriate manner to obtain a set of linear algebraic equations. With only one simple second-order… CONTINUE READING

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