A JACOBI COLLOCATION METHOD FOR TROESCH'S PROBLEM IN PLASMA PHYSICS
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Date
2014
Journal Title
Journal ISSN
Volume Title
Type
Article
Publisher
EDITURA ACAD ROMANE,
Series Info
PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE;Volume: 15 Issue: 2 Pages: 130-138
Doi
Scientific Journal Rankings
Abstract
In this paper, we propose a numerical approach for solving Troesch's problem which arises in the confinement of a plasma column by radiation pressure. It is also an inherently unstable two-point boundary value problem. The spatial approximation is based on shifted Jacobi-Gauss collocation method in which the shifted Jacobi-Gauss points are used as collocation nodes. The results presented here demonstrate reliability and efficiency of the method.
Description
Accession Number: WOS:000336714400004
Keywords
University for troesch's problem, second-order initial value problems, collocation method, Jacobi-Gauss quadrature, shifted Jacobi polynomials, BOUNDARY-VALUE PROBLEM, KADOMTSEV-PETVIASHVILI EQUATION, DIFFERENTIAL-EQUATIONS, SOLITONS, ALGORITHM, MEDIA
Citation
Cited References in Web of Science Core Collection: 47