Fundamental Solution of Dirichlet Boundary Value Problem of Axisymmetric Helmholtz Equation

Author(s)

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.

Keywords:

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

10.13447/j.1674-5647.2019.01.03

How to Cite

Fundamental Solution of Dirichlet Boundary Value Problem of Axisymmetric Helmholtz Equation. (2020). Communications in Mathematical Research, 35(1), 21-26. https://doi.org/10.13447/j.1674-5647.2019.01.03