THE PC-TAU METHOD ON THE SOLUTION OF A MODEL OF AN ISOLATED COSMIC STRING

Abstract

In this paper, we adapt the operational Tau Method for personal computers
and apply it to a system of two nonlinear second order ordinary differential
equations which are related to general relativity. The interesting behaviour this
problem exhibits in its numerical treatment is discussed. In this problem, we try
to use the Tau perturbation term to locate the correct solution of this nonlinear
problem. The results of this experiment and those which are going to be given
in another paper show that in some problems the effect of nonlinearity could
prevent the correct solution from being located properly