Error Bounds for the Liouville-Green Approximation to Initial-Value Problems.
Abstract
New error bounds are developed for the Liouville-Green approximation to the solution of an important class of differential equations arising in military operations research (specifically, variable-coefficient Lanchester-type equations of modern warfare for combat between two homogeneous forces). In contrast to many previous results, our error bounds apply to initial-value problems and are expressed in terms of initial conditions. Previous error bounds for boundary-value problems are sharpened as a consequence of our development of these new error bounds for initial-value problems. Finally, applications are made to some important specific models of combat between two homogeneous forces with time-dependent attrition-rate coefficients. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1977
- Accession Number
- ADA047143
Entities
People
- James G. Taylor
Organizations
- Naval Postgraduate School