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

• Articles • Previous Articles     Next Articles

ON NUMERICAL SOLUTIONS OF PERIODICALLY PERTURBED CONSERVATIVE SYSTEMS

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

  1. 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

Abstract: 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.

2010 MSC Number: 

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