Theory of the Newcomb equation and its application in magnetohydrodynamic stability problems

Tokuda, Shinji

Denki Gakkai Kenkyukai Shiryo, Purazuma Kenkyukai (PST-05-20222435), p.35 - 38, 2005/03

The Newcomb equation arising in magnetohydrodynamic stability problems for a tokamak plasma has regular singular poins that are rational surfaces. The Frobenius solution around the regular singular point plays important roles in various MHD problems. A numerical method is proposed which extracts, by using Legendre polynomials, the singular solution included in a solution for the eigenvalue problem associated with the Newcomb equation.