Doha, E.H.Baleanu, DumitruBaleanu, D.Bhrawi, A.H.Hafez, R.M.Matematik2025-09-232025-09-232014Doha, 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. 130-138.1454-9069https://hdl.handle.net/20.500.12416/15428In 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.eninfo:eu-repo/semantics/closedAccessCollocation MethodJacobi-Gauss QuadratureSecond-Order Initial Value ProblemsShifted Jacobi PolynomialsTroesch'S ProblemArticle2-s2.0-84901294241