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Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (8): 751-758.

• 论文 • 上一篇    下一篇

EXTRACTION OF CHARACTERISTIC ROOTS ON BESSEL-NEUMANN'S MIXED EQUATIONS

杨文熊1, 顾尔祚1, 朱敏2   

  1. 1. Shanghai Jiaotong University, Shanghai;
    2. Institute of Mechanics, Academia Sinica, Beijing
  • 收稿日期:1989-07-22 出版日期:1990-08-18 发布日期:1990-08-18

EXTRACTION OF CHARACTERISTIC ROOTS ON BESSEL-NEUMANN'S MIXED EQUATIONS

Yang Wen-xiong1, Gu Er-zuo1, Zhu Min2   

  1. 1. Shanghai Jiaotong University, Shanghai;
    2. Institute of Mechanics, Academia Sinica, Beijing
  • Received:1989-07-22 Online:1990-08-18 Published:1990-08-18

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摘要： This paper discusses the problem of the extraction of characteristic roots {λt}(λ0<λ1<λ2…) on Bessel-Neumann’s mixed equations. It gives the expressions and the evaluation of the minimum root. The advantage of the method has no use for the table of the multi-figure number Bessel function and it does not need computer but can calculate all the characteristic roots {λt}. The precision of these roots is still high.

Abstract: This paper discusses the problem of the extraction of characteristic roots {λt}(λ0<λ1<λ2…) on Bessel-Neumann’s mixed equations. It gives the expressions and the evaluation of the minimum root. The advantage of the method has no use for the table of the multi-figure number Bessel function and it does not need computer but can calculate all the characteristic roots {λt}. The precision of these roots is still high.

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