The modified homotopy perturbation method with an auxiliary term for the nonlinear oscillator with discontinuity

Recently, a modified homotopy perturbation method with an auxiliary term was proposed for obtaining an analytical approximate solution of a nonlinear equation. The auxiliary term involves a tuning parameter that gives the modified homotopy perturbation method an additional degree-of-freedom to construct the approximate solution. In this paper, we present a systematic approach for choosing the auxiliary parameter and furthermore show that an optimal value of the parameter yields significant improvement in the approximate solution compared to the standard homotopy perturbation method. We consider the nonlinear oscillator with a discontinuity to illustrate the proposed approach.

• Publication year

  2018

• Venue

  Journal of Low Frequency Noise Vibration and Active Control

• Publication date

  2018-12-28

• Fields of study

  Mathematics, Physics, Engineering

• Identifiers
  DOI 10.1177/0962144X18820454
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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