Substitution Methods for the Verification of Analog Solutions

Abstract

Substitution of analog computer solutions into the original differential equations followed by an iter ative or a variational procedure can be employed as a practical verification technique and as a method for improving solution accuracy. The method has the advantage of utilizing information contained in the analog solution and, therefore, yields results more rapidly than the conventional procedure of deriving an independent numerical check solution. It is also valuable as an aid in locating the source of computer errors.

Theoretical and practical aspects of the substitu tion check method are discussed and illustrative examples are presented in this article.