Solutions of the scalar Helmholtz equation in the elliptic cylinder coordinate system Article Swipe
Related Concepts
Eigenfunction
Eigenvalues and eigenvectors
Elliptic coordinate system
Helmholtz equation
Scalar (mathematics)
Coordinate system
Mathematical analysis
Cylindrical coordinate system
Cylinder
Mathematics
Dissipation
Spherical coordinate system
Physics
Geometry
Boundary value problem
Quantum mechanics
R.J. Lytle
,
D.L. Lager
·
YOU?
·
· 1973
· Open Access
·
· DOI: https://doi.org/10.2172/4383971
· OA: W4241029803
YOU?
·
· 1973
· Open Access
·
· DOI: https://doi.org/10.2172/4383971
· OA: W4241029803
A method for determining the eigenvalues for the scalar Helmholtz equation in the elliptic cylinder coordinate system is described. Complex expansion parameters are considered so that numerical results for physical problems involving energy dissipation as well as energy flow can be obtained. Sample numerical results are presented for the eigenvalues, radial eigenfunctions, and angle eigenfunctions. Applications of these results are discussed. (auth)
Related Topics
Finding more related topics…