Solving ODE'S with Discrete Data in SPEAKEASY

Abstract

This chapter describes the solution of ODES with discrete data in SPEAKEASY. SPEAKEASY is a very high level language designed to make using computers easy for model building. It discusses a capability for solving differential equations in the language. The language is representative of situations in which one wants to regard the solution of a differential equation as a high level operation requiring no user intervention at all. SPEAKEASY does not have within it functions in the sense of FORTRAN and other general purpose programming languages. A function like sin(x) can be employed in SPEAKEASY, but it is defined as a table of values on a specified set of points and it is held in the computer as an array. The output of the preprocessor is a FORTRAN subroutine, which can be run in SPEAKEASY. The reason for using FLECS is that the control structures available make the workings of the algorithms transparent when coded. The chapter presents basic linear algebra subprograms that are standard FORTRAN modules for performing basic operations such as adding two vectors.