Algebraic dynamics solution and algebraic dynamics algorithm of Burgers equations  

作　　者：ZHANG Hua LU WeiTao WANG ShunJin 

机构地区：[1]Center of Theoretical Physics,Sichuan University,Chengdu 610064,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2008年第11期1647-1652,共6页中国科学：物理学、力学、天文学（英文版）

基　　金：the National Natural Science Foundation of China (Grant Nos. 90503008 and 10775100);the Doctoral Program Foundation of the Ministry of Education of China;the Center of Nuclear Physics of HIRFL of China

摘　　要：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 algo-rithms.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.

关 键 词：ALGEBRAIC DYNAMICS SOLUTION in functional space ALGEBRAIC DYNAMICS ALGORITHM for BURGERS equation 

分 类 号：O175.29[理学—数学]