Numerical solution of nonlinear partial differential equations with the Tau method

摘要

The ability of a recent formulation of the Tau method of Ortiz and Samara to give approximate solutions of a high accuracy of linear partial differential equations with variable coefficients is used to produce numerical solutions of nonlinear partial differential equations. Examples given in this paper show that even for relatively low degrees, Tau approximations give a high degree of accuracy. Besides, the approximate solution and all its derivatives are continuous in the domain.