Fourier spectral methods for fractional-in-space reaction-diffusion equations
- Submitting institution
-
University of Oxford
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- 10416
- Type
- D - Journal article
- DOI
-
10.1007/s10543-014-0484-2
- Title of journal
- BIT NUMERICAL MATHEMATICS
- Article number
- -
- First page
- 937
- Volume
- 54
- Issue
- 4
- ISSN
- 0006-3835
- Open access status
- Out of scope for open access requirements
- Month of publication
- April
- Year of publication
- 2014
- URL
-
-
- Supplementary information
-
-
- Request cross-referral to
- -
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- Yes
- Number of additional authors
-
2
- Research group(s)
-
-
- Citation count
- 168
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- Fractional differential equations are increasingly being used in academic and industrial applications as powerful modelling approaches for understanding spatially heterogeneous systems. However, their numerical solution is demanding and imposes severe computational constraints. This paper introduced new accurate, efficient, and easy-to-code methods for the computational solution of these equations. Since their publication, our methods have been widely adopted worldwide for investigations of fractional diffusion in multiple disciplines of physics and biology, including pattern formation, population dynamics, solidification processes, movement of dislocations, nonlinear optics, or quantum physics, and even for the development of novel image and signal processing algorithms (e.g. https://doi.org/10.1137/15M101405X).
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -