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Algebraic dynamics solution and algebraic dynamics algorithm of Burgers equations

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Abstract

Algebraic dynamics solution and algebraic dynamics algorithm of nonlinear partial differential evolution equations in the functional space are applied to Burgers equation. The results indicate that the approach is effective for analytical solutions to Burgers equation, and the algorithm for numerical solutions of Burgers equation is more stable, with higher precision than other existing finite difference algorithms.

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Authors and Affiliations

  1. Center of Theoretical Physics, Sichuan University, Chengdu, 610064, China

    Hua Zhang, WeiTao Lu & ShunJin Wang

Authors
  1. Hua Zhang
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  2. WeiTao Lu
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  3. ShunJin Wang
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Corresponding author

Correspondence to ShunJin Wang.

Additional information

Supported by the National Natural Science Foundation of China (Grant Nos. 90503008 and 10775100), the Doctoral Program Foundation of the Ministry of Education of China, and the Center of Nuclear Physics of HIRFL of China

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Zhang, H., Lu, W. & Wang, S. Algebraic dynamics solution and algebraic dynamics algorithm of Burgers equations. Sci. China Ser. G-Phys. Mech. Astron. 51, 1647–1652 (2008). https://doi.org/10.1007/s11433-008-0156-9

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  • DOI: https://doi.org/10.1007/s11433-008-0156-9

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