An Automatic Generation of FORTRAN Code for the Finite Difference Method

抄録

It is, in general, a tedious and mistake-prone task for us to prepare a FORTRAN program which solves differential equations by means of the finite difference method. To avoid this procedure, the authors have developed a LISP program which generates the necessary FORTRAN code. The practical utility of the present LISP program is amply demonstrated by using this program for ordinary and partial differential equations. As an example, the authors solve the boundary layer equations which govern the flow on a rotating cone in a linearly retarded external axial stream. It is shown that as the effect of rotation grows, the flow ceases to separate from the wall, and then the axial, circumferential wall shear stresses and the local Nusselt number increase.