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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.