Solution of nonlinear problems in applied sciences by generalized collocation methods and mathematica

This paper deals with the developments of mathematical methods For tire dis cretization of continuous models and the solution of nonlinear problems of interest in applied sciences. The contents refer to developments of the dif ferential quadrature method which leads to the so-called generalized colloc ation methods. The method is developed and applied to tile solution of init ial-boundary value problems. The computational problems are technically sol ved with Mathematica, (C) 2001 Elsevier Science Ltd. All rights reserved.