dc.contributor.author | Kane, Stephen | |
dc.contributor.author | Defreitas, Colin | |
dc.date.accessioned | 2021-04-23T23:06:55Z | |
dc.date.available | 2021-04-23T23:06:55Z | |
dc.date.issued | 2021-03-28 | |
dc.identifier.citation | Kane , S & Defreitas , C 2021 , ' A Laplace Transform Finite Difference Scheme for the Fisher-KPP Equation. ' , Journal of Algorithms and Computational Technology , vol. 15 . https://doi.org/10.1177/1748302621999582 | |
dc.identifier.issn | 1748-3018 | |
dc.identifier.uri | http://hdl.handle.net/2299/24308 | |
dc.description | © The Author(s) 2021. This article is distributed under the terms of the Creative Commons Attribution 4.0 License (https://creativecommons.org/licenses/by/4.0/) | |
dc.description.abstract | This paper proposes a numerical approach to the solution of the Fisher-KPP reaction-diffusion equation in which the space variable is developed using a purely finite difference scheme and the time development is obtained using a hybrid Laplace Transform Finite Difference Method (LTFDM). The travelling wave solutions usually associated with the Fisher-KPP equation are, in general, not deemed suitable for treatment using Fourier or Laplace transform numerical methods. However, we were able to obtain accurate results when some degree of time discretisation is inbuilt into the process. While this means that the advantage of using the Laplace transform to obtain solutions for any time t is not fully exploited, the method does allow for considerably larger time steps than is otherwise possible for finite-difference methods. | en |
dc.format.extent | 11 | |
dc.format.extent | 980467 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of Algorithms and Computational Technology | |
dc.subject | Fisher-KPP equation | |
dc.subject | Laplace transform | |
dc.subject | Stehfest inversion | |
dc.subject | Talbot inversion | |
dc.subject | finite difference schemes | |
dc.subject | travelling wave solutions | |
dc.subject | Numerical Analysis | |
dc.subject | Computational Mathematics | |
dc.subject | Applied Mathematics | |
dc.title | A Laplace Transform Finite Difference Scheme for the Fisher-KPP Equation. | en |
dc.contributor.institution | Mathematics and Theoretical Physics | |
dc.contributor.institution | School of Physics, Engineering & Computer Science | |
dc.contributor.institution | SPECS Deans Group | |
dc.contributor.institution | Department of Physics, Astronomy and Mathematics | |
dc.description.status | Peer reviewed | |
dc.identifier.url | http://www.scopus.com/inward/record.url?scp=85103360827&partnerID=8YFLogxK | |
rioxxterms.versionofrecord | 10.1177/1748302621999582 | |
rioxxterms.type | Journal Article/Review | |
herts.preservation.rarelyaccessed | true | |