Application of exponential tight differential operators to the solution of the infectious disease equation

Linlin Lv

doi:10.1117/12.3036538

21 July 2024 Application of exponential tight differential operators to the solution of the infectious disease equation

Linlin Lv

Proceedings Volume 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024); 132190M (2024) https://doi.org/10.1117/12.3036538
Event: 4th International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2024), 2024, Kaifeng, China

Abstract

Conventional data sets for solving infectious disease equations are mostly in unidirectional form, and the efficiency of solving application is low, which leads to the increase of the average relative error of the equations. Therefore, the application of exponential tight differential operator in solving infectious disease equations is proposed to be analyzed. According to the current test requirements, the design of high-precision compact differential format is carried out first, and the multi-objective approach is adopted to improve the efficiency of the overall solution application, the multiobjective public data set is established, and the stability analysis of differential solution is realized, based on which the model design of solving infectious disease equations with exponential-type compact differential operator is constructed, and the modification of the boundedness judgment is adopted to realize the solution application. The results show that the average relative errors of the final equations for the selected four test cycles are well controlled below 1.3, which indicates that the designed method for solving the infectious disease equation is more targeted and effective, and has practical application value.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Linlin Lv "Application of exponential tight differential operators to the solution of the infectious disease equation", Proc. SPIE 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024), 132190M (21 July 2024); https://doi.org/10.1117/12.3036538

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