Chebyshev-collocation method applied to solve ODEs in geophysics singular at the Earth center

Details Chebyshev-collocation method applied to solve ODEs in geophysics singular at the Earth center Chebyshev-collocation method applied to solve ODEs in geophysics singular at the Earth center

Aug 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001georl..28.3027g&link_type=abstract

Geophysical Research Letters, Volume 28, Issue 15, p. 3027-3030

Physics

Geophysics

1

Geodesy And Gravity: Earth'S Interior-Dynamics, Geodesy And Gravity: Tides-Earth, Mathematical Geophysics: Nonlinear Dynamics

Scientific paper

The Chebyshev-collocation method is briefly presented in a manner favorable for solving ODEs in geophysics depending on geocentric distance and singular at the Earth center. The main advantage of this method is that it is not needed to treat the ODEs particularly at the Earth center as is traditionally done when using the Runge-Kutta method. Comparisons of spheroidal free oscillation periods and load Love numbers with earlier works show very close agreement.

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