On numerical solutions of periodically perturbed conservative systems |
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| Authors: | Liu Guo-qing Fu Dong-sheng Shen Zu-he |
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| Affiliation: | (1) Department of Basic Science, Nanjing University of Chemical Technology, 210009 Nanjing, P R China;(2) Department of Mathematics, Nanjing University, 210093 Nanjing, P R China |
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| 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. Communicated by SU Yu-cheng Biography: LIU Guo-qing (1966-) |
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| Keywords: | nonlinear system numerical solution uniqueness and existence algorithm |
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