Hybrid computer integration of partial differential equations by use of an assumed sum seperation of variables

The majority of numerical solution methods for partial differential equations by either analog or digital methods involve some form of finite differences technique, integral transforms, or Monto-Carlo methods. On the other hand, the most common classical analytical approach is based on some form of separation of variables and series expansions. The motivation for the research presented in this paper was to investigate the possibility of using the classical separation of variables approach as a basis for an efficient computational algorithm. The method studied was developed with a hybrid computer implemention in mind due to the ease in on-line operation in engineering design applications although it could be used for digital computation also.