Fundamental Solution of Dirichlet Boundary Value Problem of Axisymmetric Helmholtz Equation

Fundamental Solution of Dirichlet Boundary Value Problem of Axisymmetric Helmholtz Equation

Year:    2019

Author:    Kangqun Zhang

Communications in Mathematical Research , Vol. 35 (2019), Iss. 1 : pp. 21–26

Abstract

Fundamental solution of Dirichlet boundary value problem of axisymmetric Helmholtz equation is constructed via modified Bessel function of the second kind, which unified the formulas of fundamental solution of Helmholtz equation, elliptic type Euler-Poisson-Darboux equation and Laplace equation in any dimensional space.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2019.01.03

Communications in Mathematical Research , Vol. 35 (2019), Iss. 1 : pp. 21–26

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Axisymmetic Helmholtz equation fundamental solution Dirichlet boundary value problem similarity method

Author Details

Kangqun Zhang