A numerical method for multispecies populations in a moving domain using combined masses

Baines, M. J. and Christou, K. (2022) A numerical method for multispecies populations in a moving domain using combined masses. Mathematics, 10 (7). e1124. ISSN 2227-7390 doi: 10.3390/math10071124

Abstract/Summary

This paper concerns the numerical evolution of two interacting species satisfying coupled reaction−diffusion equations in one dimension which inhabit the same part of a moving domain. The domain has both moving external boundaries and moving interior interfaces where species may arise, overlap, or disappear. Numerically, a moving finite volume method is used in which node movement is generated by local mass preservation, which includes a general combined mass strategy for species occupying overlapping domains. The method is illustrated by a test case in which a range of parameters is explored.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/104458
Identification Number/DOI	10.3390/math10071124
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Uncontrolled Keywords	multispecies populations, overlapping domains, moving domains, velocity-based moving meshes, combined masses, finite-differences
Publisher	MDPI
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