Home > Science of Industrial Processes > Papers & Theses > Systems Technology > Mathematics & Computation > A Method for Solving Algebraic Equations

A Method for Solving Algebraic Equations

November 24th, 1970

Group II Research Note, ICI Central Instrument Research Lab.

S F Bush with P A Sinclair.


A method is described which has been used at CIRL and elsewhere to solve sets of algebraic equations arising from models of chemical reactions in well-stirred flow reactors. Application has also been made to the solution of sets of 150 or more equations arising from the reaction stability models. In both classes of problem the jacobian matrix is relatively stiff. The present method is a natural extension of the approximate implicit method for solving stiff differential equations and in the chemical kinetics case is advantageously combined with the reaction models input procedure described in an earlier report.