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.

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

  • Received Date: 1989-07-22
  • Publish Date: 1990-08-15
  • This paper discusses the problem of the extraction of characteristic roots {λt}(λ012…) 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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    Yih,C.S.(易家训),Fluid Mechanics,McGraw-Hill,New York(1969).
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    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.
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