Error bounds for the Liouville-Green approximation to initial-value problems
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Authors
Taylor, James G.
Subjects
Liouville-Green Approximation
Differential Equations
WKB Approximation
Initial-Value Problems
Lanchester-Type Equations
Error Bounds
Combat Dynamics
System Dynamics
Differential Equations
WKB Approximation
Initial-Value Problems
Lanchester-Type Equations
Error Bounds
Combat Dynamics
System Dynamics
Advisors
Date of Issue
1977-06
Date
1977-06
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
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)
Type
Technical Report
Description
Series/Report No
Department
Identifiers
NPS Report Number
NPS55-77-29
Sponsors
supported jointly by Naval Analysis Programs
(Code 431) , Office of Naval Research and by the Foundation Research
Program of the Naval Postgraduate School with funds provided by the
Chief of Naval Research
Funder
N0001477WR70044
Format
NA
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.