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

Tokuda, Shinji

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.

Language	:	Japanese
Journal	:	Denki Gakkai Kenkyukai Shiryo, Purazuma Kenkyukai (PST-05-20222435)
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Pages	:	p.35 - 38
Publication Year/Month	:	2005/03
Meeting title	:	電気学会プラズマ研究会
Held date	:	2005/03
Location (city)	:	宇部
Location (country)	:	日本
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Keywords	:	MHD; Newcomb方程式; 確定特異点; 有理面; Frobenius解; 接続データ; Legendre多項式
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Registration No. : B20042068
JAEA Abstracts No. : 330454
Paper Submission No. : 21786

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