Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Solutions of the Helmholtz equation for a class of non-separable cylindrical and rotational coordinate systems


Author: Vaughan H. Weston
Journal: Quart. Appl. Math. 15 (1958), 420-427
MSC: Primary 35.00
DOI: https://doi.org/10.1090/qam/98238
MathSciNet review: 98238
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Abstract: In cylindrical and rotational coordinate systems, one of the variables can be separated out of the Helmholtz equation, leaving a second order partial differential equation in two variables. For a class of the coordinate systems, this equation is reducible to a recurrence set of ordinary differential equations in one variable, which are solvable by ordinary methods.


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DOI: https://doi.org/10.1090/qam/98238
Article copyright: © Copyright 1958 American Mathematical Society


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