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Solutions of the Helmholtz equation for a class of non-separable cylindrical and rotational coordinate systems
Vaughan H. Weston
Source 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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