Submitting Campus
Daytona Beach
Department
Mathematics
Document Type
Article
Publication/Presentation Date
4-2007
Abstract/Description
This paper generalizes Lanchester’s equations of warfare to partial differential equations involving time and two spatial variables. Unlike in Lanchester’s original ordinary differential equations, the distribution of armies over the battlefield must be considered. Four different modes of attack are introduced, generalizing Lanchester’s equations for area fire and for direct fire. The effect of the distribution of forces and their movement on the outcome is considered, and numerical simulations given.
Publication Title
Computers & Mathematics with Applications
DOI
https://doi.org/10.1016/j.camwa.2007.01.013
Publisher
Elsevier
Scholarly Commons Citation
Spradlin, C., & Spradlin, G. (2007). Lanchester’s equations in three dimensions. Computers & Mathematics with Applications, 53(7), 999–1011. https://doi.org/10.1016/j.camwa.2007.01.013
