Fourier–Bessel Series Solutions of the Axisymmetrical Grad–Shafranov Equation for Plasma Confinement
ABSTRACT The axisymmetrical Grad–Shafranov equation is solved by separating the radial and axial variables and expressing the azimuthal plasma current density via series of sinusoidal or exponentially decaying functions of the axial variable. In these conditions, the flux function, exact solution of the axisymmetrical Grad–Shafranov equation, is described by double series involving Bessel functions of the radial coordinate and sinusoidal or exponential functions of the axial coordinate.
Authors
- Artur Mikhailovich Ishkhanyan (ORCID: https://orcid.org/0000-0001-8986-6852)
- F. Crisanti
- Filippo Giraldi (ORCID: https://orcid.org/0000-0002-9060-3475)
- Clemente Cesarano (ORCID: https://orcid.org/0000-0002-1694-7907)
Institutions
- Università degli Studi della Tuscia (IT)
- Russian-Armenian University (AM)
- Institute for Physical Research (AM)
- Istituto per le Applicazioni del Calcolo Mauro Picone (IT)
- UniNettuno University (IT)
- University of KwaZulu-Natal (ZA)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-05-15
- DOI
- https://doi.org/10.1002/mma.11076
- Citations
- 1
- Primary Topic
- Magnetic confinement fusion research
- Type
- article
- Field-Weighted Citation Impact
- 1.87