Browsing Applied Mathematics by Subject "separation of variables"
Now showing items 1-3 of 3
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A geometric investigation of non-regular separation applied to the bi-Helmholtz equation & its connection to symmetry operators
(University of Waterloo, 2024-05-23)The theory of non-regular separation is examined in its geometric form and applied to the bi-Helmholtz equation in the flat coordinate systems in 2-dimensions. It is shown that the bi-Helmholtz equation does not admit ... -
On the Solution of the Hamilton-Jacobi Equation by the Method of Separation of Variables
(University of Waterloo, 2000)The method of separation of variables facilitates the integration of the Hamilton-Jacobi equation by reducing its solution to a series of quadratures in the separable coordinates. The case in which the metric tensor is ... -
Orthogonal Separation of The Hamilton-Jacobi Equation on Spaces of Constant Curvature
(University of Waterloo, 2014-04-24)What is in common between the Kepler problem, a Hydrogen atom and a rotating black- hole? These systems are described by different physical theories, but much information about them can be obtained by separating an ...