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

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

1,* and 2,*
1
Faculty of applied mathematics, Shanghai University of Finance and Economics, Yangpu 200433, Shanghai, China
2
National Engineering Laboratory of Modern Silk, Soochow University, No. 1, Shizi Street, Suzhou 215006, China
*
Authors to whom correspondence should be addressed.
Received: 31 December 2010 / Accepted: 31 December 2010 / Published: 31 December 2010
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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 Variational principle; nonlinear oscillator; He Chengtian's interpolation; homotopy
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Zhou, L.-H.; He, J. The Variational Approach Coupled with an Ancient Chinese Mathematical Method to the Relativistic Oscillator. Math. Comput. Appl. 2010, 15, 930-935.

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