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Article

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

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.
Math. Comput. Appl. 2010, 15(5), 930-935; https://doi.org/10.3390/mca15050930
Submission received: 31 December 2010 / Accepted: 31 December 2010 / Published: 31 December 2010

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

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MDPI and ACS Style

Zhou, L.-H.; He, J.H. The Variational Approach Coupled with an Ancient Chinese Mathematical Method to the Relativistic Oscillator. Math. Comput. Appl. 2010, 15, 930-935. https://doi.org/10.3390/mca15050930

AMA Style

Zhou L-H, He JH. The Variational Approach Coupled with an Ancient Chinese Mathematical Method to the Relativistic Oscillator. Mathematical and Computational Applications. 2010; 15(5):930-935. https://doi.org/10.3390/mca15050930

Chicago/Turabian Style

Zhou, Lin-Hong, and J.H. He. 2010. "The Variational Approach Coupled with an Ancient Chinese Mathematical Method to the Relativistic Oscillator" Mathematical and Computational Applications 15, no. 5: 930-935. https://doi.org/10.3390/mca15050930

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