Determining the symmetries of difference equations
- Submitting institution
-
Liverpool Hope University
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- PX13C
- Type
- D - Journal article
- DOI
-
10.1098/rspa.2018.0340
- Title of journal
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Article number
- -
- First page
- 20180340
- Volume
- 474
- Issue
- 2219
- ISSN
- 1471-2946
- Open access status
- Compliant
- Month of publication
- -
- Year of publication
- 2018
- URL
-
-
- Supplementary information
-
-
- Request cross-referral to
- 10 - Mathematical Sciences
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
-
0
- Research group(s)
-
M - Mathematical Sciences Research (MSR)
- Citation count
- 2
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- This paper proposes a novel method to systematically determine the symmetries of difference equations along with methods and algorithms for solving functional equations. Its key contributions are to introduce a new theory applicable to a wide class of equations avoiding all the restrictions and limitations of previous approaches and to be easily implemented in symbolic computations. This paper formed the basis for a new collaboration with the School of Mines, Colorado, USA, in terms of a joint project for the implementation of the algorithms in Mathematica.
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -
