A Direct Relaxation-Iteration Technique for the Troesch Problem

Abstract

In the work reported herein, we propose a direct relaxation-iteration technique for the solution of a highly unstable parameter-sensitive nonlinear boundary value differential equation known as the Troesch problem. It arises in the confinement of plasma column by radiation pressure. The proposed technique is based on an SOR successive relaxation method and guarantees that convergence is achieved straightforwardly. Numerical experiments conducted to investigate the overall influence of sensitivity parameter on the solution profiles confirm the relative advantage of the proposed numerical technique over previous methods.