%0 Journal Article
%T A New Discontinuous Galerkin Method to Solve Highly Sensitive Troesch¡¯s Problem
%A Helmi Temimi
%J International Journal of Applied Physics and Mathematics
%D 2013
%I IACSIT Press
%R 10.7763/ijapm.2013.v3.185
%X In this paper, we propose a new discontinuous Galerkin finite element (DG) method to solve Troesch¡¯s problem, which is highly sensitive for large values of the parameter. This twopoint boundary value problem has been heavily studied since 1960, however, only a few papers have provided a reliable solution for high sensitivity. Therefore, we developed the DG method which has been proved its efficiency for many decades to be a new numerical solver. We demonstrate through computational results compared with those computed by other methods, that the discontinuous Galerkin method provides a quite efficient, accurate and reliable solution. Thus, the DG method is an attractive and competitive alternative to other numerical and semi-analytical techniques to solve highly sensitive nonlinear problems
%K Troesch¡¯s problem
%K discontinuous galerkin method
%K nonlinear boundary value problem
%U http://www.ijapm.org/papers/185-PM2005.pdf