### Abstract

The first part of this paper starts with a brief discussion of some methods for solution of nonlinear equations which have interested the first author over the last twenty years or so. In the second part we discuss a recent research involvement, the success of which relies heavily on the numerical solution of nonlinear equation systems. We briefly describe path-following methods and then present an application to a simple steady-state reactiondiffusion equation arising in combustion theory. Results for some regular geometric shapes are shown and compared with those from an approximate method. 7

Original language | English |
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Pages (from-to) | 55-64 |

Number of pages | 10 |

Journal | ANZIAM Journal |

Volume | 42 |

Issue number | 1 |

Publication status | Published - 2000 |

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### ASJC Scopus subject areas

- Mathematics (miscellaneous)