Stable iterative hybrid method for the solution of weak nonlinear parabolic differential equations

Abstract

In the hybrid computer solution of a parabolic differential equation the equation may be approximated by a set of coupled ordinary differential equations, one equation for each spatial station. The set is integrated by the analog computer one equation (or one group of equations) at a time in a serial fashion using a relaxation technique and employing the digital computer for function storage and playback. By using the iterative time-sharing computation of this class of equations the authors have received new general results.