Doha, E. H.Baleanu, D.Bhrawi, A. H.Hafez, R. M.2019-12-032019-12-032014Cited References in Web of Science Core Collection: 471454-9069https://acad.ro/sectii2002/proceedings/doc2014-2/04-Doha.pdfAccession Number: WOS:000336714400004In 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.enUniversity for troesch's problemsecond-order initial value problemscollocation methodJacobi-Gauss quadratureshifted Jacobi polynomialsBOUNDARY-VALUE PROBLEMKADOMTSEV-PETVIASHVILI EQUATIONDIFFERENTIAL-EQUATIONSSOLITONSALGORITHMMEDIAArticle