Solving algebraic equations on a microcomputer.

Abstract

Equation-solving programs for microcomputers make the numerical solution of algebraic equations an easy task. It is no longer necessary to learn or to program algorithms for the solution of many different types of equations. A single equation or a set of simultaneous equations may simply be entered into the computer and numerically solved for unknowns without concern as to whether the equations are linear or non-linear. Several examples of possible applications of equation-solving programs are discussed. Solution times for these examples are given for SEQS on the Apple II and Macintosh computers. The example sets of equations, which include chemical equilibrium and enzyme kinetics problems, have been chosen to demonstrate important aspects of the uses and limitations of equation solving. The four examples discussed are: a two-compartment pharmacokinetic model, citric acid ionization in aqueous solution, an enzyme inhibition model, and an example of the application of an equation-solving program in doing a simple non-linear regression problem.