University of TabrizComputational Methods for Differential Equations2345-39823420151001Numerical solution of Troesch's problem using Christov rational functions2472575003ENAbbasSaadatmandiDepartment of Applied Mathematics,
Faculty of Mathematical Sciences,
University of Kashan, Kashan 87317-53153, Iran0000-0002-7744-7770TaherehAbdolahi-NiasarDepartment of Applied Mathematics,
Faculty of Mathematical Sciences,
University of Kashan, Kashan 87317-53153, IranJournal Article20160724We present a collocation method to obtain the approximate solution of Troesch's problem which arises in the confinement of a plasma column by radiation pressure and applied physics. By using the Christov rational functions and collocation points, this method transforms Troesch's problem into a system of nonlinear algebraic equations. The rate of convergence is shown to be exponential. The numerical results obtained by the present method compares favorably with those obtained by various methods earlier in the literature.https://cmde.tabrizu.ac.ir/article_5003_aaa09fae46465928c72b2411e693a1d4.pdf