Abstract
The numerical solution of mathematical problems in global astrogeophysics is often based on spherical harmonic spectral analysis of the governing partial differential equations. We report here on successful applications of the computer algebra programs MACSYMA, MAPLE and REDUCE for the generation of spectral equations associated with the magnetic induction equation, one of the fundamental vector equations involved in modelling magnetohydrodynamic interactions in the Earth's core, stellar atmospheres and stellar interiors. This application indicates that computer algebra programs will be a powerful tool for deriving spherical harmonic spectral equations for partial differential equations in mathematical physics.
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