Operator splitting and error analysis in malaria modeling

作者:

Highlights:

• Operator splitting techniques have been applied to a non-homogeneous system of equations.

• The system has been split into three simpler operators depending upon the geometrical directions of the model.

• 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.

• The superiority of the splitting scheme over some non-split schemes in terms of computational time for a fixed global error has been established.

摘要

•Operator splitting techniques have been applied to a non-homogeneous system of equations.•The system has been split into three simpler operators depending upon the geometrical directions of the model.•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.•The superiority of the splitting scheme over some non-split schemes in terms of computational time for a fixed global error has been established.

论文关键词:Operator splitting,Non-homogeneous system,Order and error,Malaria modeling

论文评审过程:Received 1 July 2020, Revised 13 April 2021, Accepted 6 June 2021, Available online 24 June 2021, Version of Record 24 June 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126446