INTEGRATION OF DIFFERENTIAL-EQUATIONS BY THE PSEUDOLINEAR (PL) APPROXIMATION

A new method of integrating differential equations was originated with the technique of approximately calculating the integrals called the p seudo-linear (PL) procedure: this method is A-stable. This article con tains the following examples: 1st order ordinary differential equation s (ODEs), 2nd order linear ODEs, stiff system of ODEs (neutron kinetic s), one-dimensional parabolic (diffusion) partial differential equatio ns. In this latter case, this PL method coincides with the Crank-Nicho lson method. (C) 1998 Elsevier Science Ltd. All rights reserved.