Combat modeling with partial differential equations

V. Protopopescu, R. T. Santoro, J. Dockery

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

We propose an extension of the classical modeling of combat via Lanchester equations to include one-dimensional spatial effects. The usual coupled set of ordinary differential (Lanchester) equations is replaced by a system of partial differential equations. We discuss the proposed model, report preliminary numerical results, and consider possible applications and extensions.

Original languageEnglish
Pages (from-to)178-183
Number of pages6
JournalEuropean Journal of Operational Research
Volume38
Issue number2
DOIs
StatePublished - Jan 25 1989

Funding

Research sponsored by Organization of the Joint Chiefs of Staff, Command, Control and Communications, Department of Defense under contract number DE-ACO5-84OR21400 with Martin Marietta Energy Systems, Inc.

Keywords

  • Combat modeling
  • Lanchester equations
  • military
  • ordinary differential equations
  • partial differential equations
  • spatial dependence

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