Comparison of two algorithms for solving STIFF differential equations

Many algorithms are available for solving differential equations. Of these, two methods—GEAR and STIFF3, which were developed specifically for stiff differential equations, are compared based on their performance on five test problems. The performance criteria are both accuracy of the numerical solution and efficiency of the method. The results indicate that GEAR, although the older of the two methods, is the preferred algorithm, for stiff differential equations.