Algebraic dynamics solution to and algebraic dynamics algorithm for nonlinear advection equation  

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10期1470-1478,共9页中国科学：物理学、力学、天文学（英文版）

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

摘　　要：Algebraic dynamics approach and algebraic dynamics algorithm for the solution of nonlinear partial differential equations are applied to the nonlinear advection equa-tion. The results show that the approach is effective for the exact analytical solu-tion and the algorithm has higher precision than other existing algorithms in nu-merical computation for the nonlinear advection equation.Algebraic dynamics approach and algebraic dynamics algorithm for the solution of nonlinear partial differential equations are applied to the nonlinear advection equation. The results show that the approach is effective for the exact analytical solution and the algorithm has higher precision than other existing algorithms in numerical computation for the nonlinear advection equation.

关 键 词：NONLINEAR advection EQUATION ALGEBRAIC DYNAMICS SOLUTION in FUNCTIONAL space ALGEBRAIC DYNAMICS algo-rithm for NONLINEAR advection EQUATION 

分 类 号：O175.29[理学—数学]