Abstract
This paper discusses the problem of the extraction of characteristic roots {λ i}, (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 1.The precision of these roots is still high.
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References
Yih, C.S.,Fluid Mechanics, McGraw-Hill, New York (1969).
Lin, C.C.,The Theory of Hydrodynamic Stability, Cambridge University Press, Cambridge (1955).
Bogert, B.P., Some roots of an equation involving Bessel functions,J. Math. Phys.,30 (1951), 102–105.
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Communicated by He You-sheng
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Wen-xiong, Y., Er-zuo, G. & Min, Z. Extraction of characteristic roots on Bessel-Neumann's mixed equations. Appl Math Mech 11, 751–758 (1990). https://doi.org/10.1007/BF02015149
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DOI: https://doi.org/10.1007/BF02015149