Difference equations by differential equation methods
by Hydon, Peter E., (Peter Ellsworth)
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. This book 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 fo…
Read More ↓Title Statements
- Full title :Difference equations by differential equation methods / Peter E. Hydon.
Summary
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. This book 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 author uses worked examples to help readers grasp new concepts easily. There are 120 exercises of varying difficulty and suggestions for further reading. --
Read More ↓Edition Statements
- Publication Date:2014.
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:2014.
Notes
Title from publisher's web page (viewed 13 August, 2014).
The Physical Object
- Description:1 online resource (xvi, 206 pages)
Edition Identifiers
- ISBN:9781139016988, 1139016989, 0521878527, 9780521878524, 9781139984768, 1139984764
- oclc:ocn886651605
- LC Classification:QA431
- Dewey Decimal:515/.625
Table of Contents
1. Elementary method for linear O[delta]Es -- 2. Simple symmetry method for O[delta]Es -- 3. Extenstions of basic symmetry methods -- 4. Lattice transformations -- 5. Solution methods for P[delta]Es -- 6. Conservation laws -- References -- Index.
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