Operator splitting and error analysis in malaria modeling

Parna Mandal and István Faragó

Applied Mathematics and Computation, 2021, vol. 410, issue C

Abstract: In this investigation, operator splitting techniques have been leveraged successfully to get better accuracy of the numerical solution of a system of nonlinear ordinary differential equations representing the propagation of malaria disease as a test problem. Simulated split solutions using different operator splitting schemes, namely, the sequential splitting scheme and the Strang-Marchuk splitting scheme are compared with the non-split reference solution. The order and accuracy of the methods have been derived analytically and by a numerical experiment for the test problem. We have also calculated the numerical errors associated with the methods. Moreover, the superiority of the splitting scheme over some non-split schemes in terms of computational time for a fixed global error has been established. For quantitative insight, a thorough large-scale numerical simulation has been performed and the predicted results are presented graphically.

Keywords: Operator splitting; Non-homogeneous system; Order and error; Malaria modeling (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:410:y:2021:i:c:s009630032100535x

DOI: 10.1016/j.amc.2021.126446

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