Series Info:PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE;Volume: 15 Issue: 2 Pages: 130-138
Type:Article
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
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.
