Fundamental Solution of Dirichlet Boundary Value Problem of Axisymmetric Helmholtz Equation

Authors

  • Kangqun Zhang Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing, 211167

DOI:

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

Keywords:

Axisymmetic Helmholtz equation, fundamental solution, Dirichlet boundary value problem, similarity method

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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Published

2020-03-18

Issue

Vol. 35 No. 1 (2019)

Section

Articles