%0 Journal Article
%T Numerical solution of Troesch's problem using Christov rational functions
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Saadatmandi, Abbas
%A Abdolahi-Niasar, Tahereh
%D 2015
%\ 10/01/2015
%V 3
%N 4
%P 247-257
%! Numerical solution of Troesch's problem using Christov rational functions
%K Troesch's problem
%K Christov functions
%K Collocation
%K Wiener functions
%R
%X We 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.
%U https://cmde.tabrizu.ac.ir/article_5003_aaa09fae46465928c72b2411e693a1d4.pdf