Automatic solution of thermal problems

It is pointed out that the engineer or scientist is interested in obtaining results with a minimum of personal effort. In this connection, much attention has been given to the development of systems for the automatic solution of partial differential equations (PDEs), taking into account also the solution of ordinary differential equations (ODEs). The state of the art of software for PDE implies that there is a need for the development of new systems. Attention is given to the development of a new iterative system for the automatic solution of nonlinear PDEs. Equations, boundary conditions, order of approximation, and special instructions are specified by the user. The system, which is called ARIEL, automatically generates, compiles, loads, and executes a new program according to the specifications. The software for the PDEs is discussed and a description for ARIEL is provided.