Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (1): 65-78.

• 论文 • 上一篇    下一篇

ON RELATIONS BETWEEN THE MODIFIED-ITERATIVE METHOD AND CHIEN'S PERTURBATION SOLUTION

周又和   

  1. Huazhong University of Science and Technlogy, Wuhan
  • 收稿日期:1986-07-23 出版日期:1989-01-18 发布日期:1989-01-18
  • 基金资助:

    Supported by the Science Fund of the Chinese Academy of Sciences

ON RELATIONS BETWEEN THE MODIFIED-ITERATIVE METHOD AND CHIEN'S PERTURBATION SOLUTION

Zhou You-he   

  1. Huazhong University of Science and Technlogy, Wuhan
  • Received:1986-07-23 Online:1989-01-18 Published:1989-01-18
  • Supported by:

    Supported by the Science Fund of the Chinese Academy of Sciences

摘要: In this paper, we gave analytical formulas of characteristic relation of circular plate in solving high-order solutions of modified-iterative method, which reduces the calculating quantities of the method. Having deduced the relations between the modified-iterative method and Chien’s perturbation solution, we obtained the conclusion that the convergent regions of the two methods are the same.

Abstract: In this paper, we gave analytical formulas of characteristic relation of circular plate in solving high-order solutions of modified-iterative method, which reduces the calculating quantities of the method. Having deduced the relations between the modified-iterative method and Chien’s perturbation solution, we obtained the conclusion that the convergent regions of the two methods are the same.

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