Bessel-Neumann混合型方程特征根系的求解方法

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

摘要: 本文讨论了Bessel-Neumann混合型方程特征根系{λ_t}(λ₀λ₁λ₂…)的求解法问题.给出了计算特征根系的表达式和最小根的取值方法.这种计算方法的优点是不用多位的Bessel函数表,也不需要计算机就能快速地计算出特征根系{λ_t}并具有较高的计算精度.

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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