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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1981 Volume 104, Pages 139–145 (Mi znsl3385)

Comparison Kirchhoff's method and the method of parabolic equation in the whispering gallery waves problem in a vicinity of flex point: of the boundary

A. I. Lanin


Abstract: The whispering gallery waves problem in a neighbourhood of a boundary flex point is considered. The author uses Kirchhoff's method and compares the results with the ones obtained by the method of parabolic equation [1]. The results of the comparison are discussed and diagramms are presented.

UDC: 517.934


 English version:
Journal of Soviet Mathematics, 1982, 20:1, 1836–1839

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© Steklov Math. Inst. of RAS, 2024