Extraction of Characteristic Roots on BesseLl-Neumann’s Mixed Equations

Yang Wen-xiong; Gu Er-zuo; Zhu Min

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Yang Wen-xiong, Gu Er-zuo, Zhu Min. Extraction of Characteristic Roots on BesseLl-Neumann’s Mixed Equations[J]. Applied Mathematics and Mechanics, 1990, 11(8): 705-712.

Citation:

Yang Wen-xiong, Gu Er-zuo, Zhu Min. Extraction of Characteristic Roots on BesseLl-Neumann’s Mixed Equations[J]. Applied Mathematics and Mechanics, 1990, 11(8): 705-712.

Citation:

Yang Wen-xiong, Gu Er-zuo, Zhu Min. Extraction of Characteristic Roots on BesseLl-Neumann’s Mixed Equations[J]. Applied Mathematics and Mechanics, 1990, 11(8): 705-712.

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Extraction of Characteristic Roots on BesseLl-Neumann’s Mixed Equations

1.
Shanghai Jiaotong University, Shanghai;
2.
nstitute of Mechanics, Academia Sinica, Beijing

Received Date: 1989-07-22
Publish Date: 1990-08-15

Abstract

Abstract

This paper discusses the problem of the extraction of characteristic roots {λ_t}(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 {λ_t}. The precision of these roots is still high.

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References(3)

References

[1]	Yih,C.S.(易家训),Fluid Mechanics,McGraw-Hill,New York(1969).
[2]	Lin,C.C.(林家翘),The Theory of Hydrodynamic Stability,Cambridge University Press,Cambridge(1955).
[3]	Bogert,B.P.,Some roots of an equation involving Bessel functions,J.Math.Phys.,30(1951),102-105.