A Numerical Method for Multispecies Populations in a Moving Domain Using Combined Masses

M. J. Baines and Katerina Christou
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M. J. Baines: Department of Mathematics and Statistics, University of Reading, Reading RG6 6AH, UK
Katerina Christou: Department of Mathematics and Statistics, University of Reading, Reading RG6 6AH, UK

Mathematics, 2022, vol. 10, issue 7, 1-17

Abstract: 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.

Keywords: multispecies populations; overlapping domains; moving domains; velocity-based moving meshes; combined masses; finite-differences (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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