Research and Advances

A simple technique for coding differential equations


A computer program that will solve an arbitrary system of first-order differential equations according to some conventional numerical method may be considered to have two distinct parts. The main program performs all of the operations of input-output, initialization, choice of step-size, and actual solution of the equations. This part of the program is independent of the functional equations relating the derivatives to the variables. A subsidiary program evaluates the derivatives according to the given functional relationships, and this subprogram or subroutine has to be written for each new system of equations [1].

View this article in the ACM Digital Library.

Join the Discussion (0)

Become a Member or Sign In to Post a Comment

The Latest from CACM

Shape the Future of Computing

ACM encourages its members to take a direct hand in shaping the future of the association. There are more ways than ever to get involved.

Get Involved

Communications of the ACM (CACM) is now a fully Open Access publication.

By opening CACM to the world, we hope to increase engagement among the broader computer science community and encourage non-members to discover the rich resources ACM has to offer.

Learn More