A Jacobi Collocation Method for Troesch's Problem in Plasma Physics
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Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
Editura Academiei Romane
Open Access Color
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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
Keywords
Collocation Method, Jacobi-Gauss Quadrature, Second-Order Initial Value Problems, Shifted Jacobi Polynomials, Troesch'S Problem
Fields of Science
Citation
Doha, E.H...et al. (2014). "A Jacobi Collocation Method for Troesch'S Problem in Plasma Physics", Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science, Vol. 15, No. 2, pp. 130-138.
WoS Q
Q3
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Q4
Source
Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science
Volume
15
Issue
2
Start Page
130
End Page
138
SCOPUS™ Citations
17
checked on Feb 26, 2026
Page Views
3
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