ON NUMERICAL SOLUTIONS OF PERIODICALLY PERTURBED CONSERVATIVE SYSTEMS

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (2): 226-235.

ON NUMERICAL SOLUTIONS OF PERIODICALLY PERTURBED CONSERVATIVE SYSTEMS

刘国庆¹, 傅冬生², 沈祖和²

1. Department of Basic Science, Nanjing University of Chemical Technology, Nanjing 210009, P R China;
2. Department of Mathematics, Nanjing University, Nanjing 210093, P R China

收稿日期:2000-09-29 修回日期:2001-06-26 出版日期:2002-02-18 发布日期:2002-02-18

ON NUMERICAL SOLUTIONS OF PERIODICALLY PERTURBED CONSERVATIVE SYSTEMS

LIU Guo-qing¹, FU Dong-sheng², SHEN Zu-he²

1. Department of Basic Science, Nanjing University of Chemical Technology, Nanjing 210009, P R China;
2. Department of Mathematics, Nanjing University, Nanjing 210093, P R China

Received:2000-09-29 Revised:2001-06-26 Online:2002-02-18 Published:2002-02-18

摘要/Abstract

摘要： A nonlinear perturbed conservative system is discussed. By means of Hadamard’s theorem, the existence and uniqueness of the solution of the continuous problem are proved. When the equation is discreted on the uniform meshes, it is proved that the corresponding discrete problem has a unique solution. Finally, the accuracy of the numerical solution is considered and a simple algorithm is provided for solving the nonlinear difference equation.

中图分类号:

O241.81

刘国庆;傅冬生;沈祖和. ON NUMERICAL SOLUTIONS OF PERIODICALLY PERTURBED CONSERVATIVE SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(2): 226-235.

LIU Guo-qing;FU Dong-sheng;SHEN Zu-he. ON NUMERICAL SOLUTIONS OF PERIODICALLY PERTURBED CONSERVATIVE SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(2): 226-235.

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ON NUMERICAL SOLUTIONS OF PERIODICALLY PERTURBED CONSERVATIVE SYSTEMS

ON NUMERICAL SOLUTIONS OF PERIODICALLY PERTURBED CONSERVATIVE SYSTEMS

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