Multiple‐Parameter Hamiltonian Approach for Higher Accurate Approximations of a Nonlinear Oscillator with Discontinuity | Zendy

Najeeb Alam Khan | Zendy; Muhammad Kamran Jamil | Zendy; Asmat Ara | Zendy

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Multiple‐Parameter Hamiltonian Approach for Higher Accurate Approximations of a Nonlinear Oscillator with Discontinuity

Author(s) -

Najeeb Alam Khan,

Muhammad Kamran Jamil,

Asmat Ara

Publication year - 2011

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2011/649748

Subject(s) - discontinuity (linguistics) , mathematics , nonlinear system , hamiltonian (control theory) , mathematical analysis , amplitude , natural frequency , physics , mathematical optimization , quantum mechanics , vibration

We applied a new approach to obtain natural frequency of the nonlinear oscillator with discontinuity. He's Hamiltonian approach is modified for nonlinear oscillator with discontinuity for which the elastic force term is proportional to sgn(u). We employed this method for higher-order approximate solution of the nonlinear oscillator equation. This property is used to obtain approximate frequency-amplitude relationship of a nonlinear oscillator with high accuracy. Many numerical results are given to prove the efficiency of the suggested technique

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