Hydon, Peter E.
(2014)
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Difference Equations by Differential Equation Methods.
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Cambridge Monographs on Applied and Computational Mathematics
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Cambridge University Press, Cambridge University Press, 222 pp.
ISBN 978-0-521-87852-4.
E-ISBN 978-1-139-98938-1.
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Official URL http://www.cambridge.org/gb/academic/subjects/math... |

## Abstract

Most well-known solution techniques for differential equations exploit symmetry in some form. Systematic methods have been developed for finding and using symmetries, first integrals and conservation laws of a given differential equation. Here the author explains how to extend these powerful methods to difference equations, greatly increasing the range of solvable problems. Beginning with an introduction to elementary solution methods, the book gives readers a clear explanation of exact techniques for ordinary and partial difference equations. The informal presentation is suitable for anyone who is familiar with standard differential equation methods. No prior knowledge of difference equations or symmetry is assumed. The author uses worked examples to help readers grasp new concepts easily. There are 120 exercises of varying difficulty and suggestions for further reading. The book goes to the cutting edge of research; its many new ideas and methods make it a valuable reference for researchers in the field.

Item Type: | Book |
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Uncontrolled keywords: | Difference equations, solution methods, symmetries and conservation laws |

Subjects: | Q Science > QA Mathematics (inc Computing science) |

Divisions: | Faculties > Sciences > School of Mathematics Statistics and Actuarial Science |

Depositing User: | Peter Hydon |

Date Deposited: | 06 Jan 2016 09:51 UTC |

Last Modified: | 29 May 2019 16:50 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/53602 (The current URI for this page, for reference purposes) |

Hydon, Peter E.: | https://orcid.org/0000-0002-3732-4813 |

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