| Vincent摄动解的收敛上界 |
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| 引用本文： | 周又和,郑晓静.Vincent摄动解的收敛上界[J].力学学报,1988(5). |
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| 作者姓名： | 周又和 郑晓静 |
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| 作者单位： | 华中工学院力学系
(周又和)，兰州大学力学系(郑晓静) |
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| 摘 要： | 本文推证得到了Vincent摄动解与逐次迭代解的一致性,从而由迭代解的收敛性及其收敛上界得到了 Vincent 摄动解的收敛性和收敛上界,同时给出了迭代解的解析特征关系。
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| 关 键 词： | 摄动解 迭代解 收敛性 收敛上界 |
A CONVERGENT UPPER BOUND OF VINCENT'S PERTURBATION SOLUTION |
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| Zhou Youhe.A CONVERGENT UPPER BOUND OF VINCENT''''S PERTURBATION SOLUTION[J].chinese journal of theoretical and applied mechanics,1988(5). |
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| Authors: | Zhou Youhe |
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| Abstract: | In this paper, we have proved that the convergent ranges of the Vincent's perturbation solution are the same as those of the iterative solution. Hence, both the convergence and convergent upper value of Vincent's perturbation solution can be obtained by means of ones of the iterative solution. Meantime, the analytic formula of the characteristic relation of the iterative solution has also been given. |
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| Keywords: | perturbation solution iterative solution Convergence convergent up-per bound |
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