## Abstract

We examine the analytical behavior of a “near index” problem which Chung and Westerberg used as an example to illustrate their newly proposed algorithm for solving such problems. The example problem has both a stiff and an unstable component, the latter causing both implicit (in principle) and explicit (in practice because of round-off error) numerical methods to diverge when attempting to track its known finite solution. We explain why the numerical method of Chung and Westerberg, which corresponds to a perturbation expansion of the problem around the index problem to which it is close, has no difficulty in finding this solution.

Original language | English |
---|---|

Pages (from-to) | 1798-1799 |

Number of pages | 2 |

Journal | Industrial and Engineering Chemistry Research |

Volume | 32 |

Issue number | 8 |

DOIs | |

State | Published - 1993 |