Volume 35, Issue 1
Fundamental Solution of Dirichlet Boundary Value Problem of Axisymmetric Helmholtz Equation

Commun. Math. Res., 35 (2019), pp. 21-26.

Published online: 2019-12

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• 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

35A08, 35J05, 35J25

chkqnju@hotmail.com (Kangqun Zhang)

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@Article{CMR-35-21, author = {Zhang , Kangqun}, title = {Fundamental Solution of Dirichlet Boundary Value Problem of Axisymmetric Helmholtz Equation}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {35}, number = {1}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2019.01.03}, url = {http://global-sci.org/intro/article_detail/cmr/13471.html} }
TY - JOUR T1 - Fundamental Solution of Dirichlet Boundary Value Problem of Axisymmetric Helmholtz Equation AU - Zhang , Kangqun JO - Communications in Mathematical Research VL - 1 SP - 21 EP - 26 PY - 2019 DA - 2019/12 SN - 35 DO - http://doi.org/10.13447/j.1674-5647.2019.01.03 UR - https://global-sci.org/intro/article_detail/cmr/13471.html KW - Axisymmetic Helmholtz equation, fundamental solution, Dirichlet boundary value problem, similarity method AB -

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.

Kang-qun Zhang. (2019). Fundamental Solution of Dirichlet Boundary Value Problem of Axisymmetric Helmholtz Equation. Communications in Mathematical Research . 35 (1). 21-26. doi:10.13447/j.1674-5647.2019.01.03
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