The Variational Approach Coupled with an Ancient Chinese Mathematical Method to the Relativistic Oscillator

Lin-Hong Zhou; J.H. He

doi:10.3390/mca15050930

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31 December 2010

The Variational Approach Coupled with an Ancient Chinese Mathematical Method to the Relativistic Oscillator

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Faculty of applied mathematics, Shanghai University of Finance and Economics, Yangpu 200433, Shanghai, China

National Engineering Laboratory of Modern Silk, Soochow University, No. 1, Shizi Street, Suzhou 215006, China

Authors to whom correspondence should be addressed.

Math. Comput. Appl.2010, 15(5), 930-935;https://doi.org/10.3390/mca15050930

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Abstract

This paper applies the variational approach to the relativistic oscillator. In order to effectively deal with the irrational term, an ancient Chinese mathematics is introduced. Comparison of the obtained result with the numerical one elucidates the efficiency of the present treatment.

Keywords:

Variational principle; nonlinear oscillator; He Chengtian's interpolation; homotopy

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