Electronic Journal of Differential Equations
15th annual Conference on Applied Mathematics, Univ. of Central Oklahoma,

Electron. J. Diff. Eqns., Conf. 02, 1999, pp. 125-131.

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Operational WKB solution to the initial/final-value problem for
Beechem-Haas equations

Valentino Anthony Simpao

**Abstract:**

Operational and Wantzel-Kramers-Brillouin (WKB) methods are utilized
to obtain an analytical approximate
solution of the Beechem-Haas equation for the initial/final-value problem
with system parameters of radial profile. The Beechem-Haas equation herein
is expanded from its traditional form, which determines its solutions in a
spherical coordinate system as functions of the radial and time coordinates
only, to one which includes the angular coordinates as well, thus providing
a natural modeling framework for polarization phenomena.
Published January 21, 2000.

Subject classfications: 92C45, 34E20, 58J35.

Key words: operational methods, WKB, Analytic solution.

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Valentino Anthony Simpao

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