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Operator splitting and error analysis in malaria modeling

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  • Mandal, Parna
  • Faragó, István

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.

Suggested Citation

  • Mandal, Parna & Faragó, István, 2021. "Operator splitting and error analysis in malaria modeling," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    • Handle: RePEc:eee:apmaco:v:410:y:2021:i:c:s009630032100535x
    DOI: 10.1016/j.amc.2021.126446
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    References listed on IDEAS

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    1. Abid Ali Lashari & Shaban Aly & Khalid Hattaf & Gul Zaman & Il Hyo Jung & Xue-Zhi Li, 2012. "Presentation of Malaria Epidemics Using Multiple Optimal Controls," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, June.
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