A systematic approach to obtaining numerical solutions of Jeffery ’ s type equations using Spherical Harmonics

@inproceedings{MontgomerySmith2009ASA,
title={A systematic approach to obtaining numerical solutions of Jeffery ’ s type equations using Spherical Harmonics},
author={Stephen Montgomery-Smith and David Jack and Douglas S. Smith},
year={2009}
}

This paper extends the work of Bird, Warner, Stewart, Sørensen, Larson and Öttinger who have applied spherical harmonics to numerically solve certain types of partial differential equations on the two-dimensional sphere. We present a new systematic approach and implementation for solving such equations with efficient numerical solutions. The main tools used to compute the coefficients for the spherical harmonic-based expansion are Rodrigues’ formula and the ladder operators. Examples are given… CONTINUE READING

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