This study is an attempt to show what stiff ODEs are and to discuss some numerical methods commonly used for their solution. It is shown that classical methods are inadequate for the solution of stiff problems and that implicit methods are better suited for their solution. Linear multistep methods are introduced and their applications toward stiff problems are discussed. The application of other methods to stiff problems such as Runge-Kutta methods, Composite Multistep methods, and Second Derivative methods are discussed. This study also gives a survey of software packages commonly used for solving stiff systems. An example problem is also given and is solved using a software package.
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