A Jacobi Collocation Method for Troesch'S Problem in Plasma Physics
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Date
2014
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Editura Academiei Romane
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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.
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Keywords
Collocation Method, Jacobi-Gauss Guadrature, Second-Order Initial Value Problems, Shifted Jacobi Polynomials, Troesch's Problem
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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.
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Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science
Volume
15
Issue
2
Start Page
130
End Page
138