Date of Award
Spring 4-2001
Document Type
Thesis - Open Access
Degree Name
Master of Aeronautical Science
Department
Aeronautical Science
Committee Chair
Richard S. Baty
Committee Member
Roy S. Baty
Committee Member
John C. Hogan
Abstract
Many problems in aeronautics can be described in terms of nonlinear systems of equations. Carleman developed a technique to linearize such equations that could lead to analytical solutions of nonlinear problems. Nonlinear problems are difficult to solve in closed form and therefore the construction of such solutions is usually nontrivial. This thesis will apply the Carleman linearization technique to three model problems: a two-degree of-freedom (2DOF) ballistic trajectory, Blasius' boundary layer, and Van der Pol's equation and evaluate how well the technique can adequately approximate the solutions of these ordinary differential equations.
Scholarly Commons Citation
Gaude, Brian William, "Solving Nonlinear Aeronautical Problems Using the Carleman Linearization Method" (2001). Master's Theses - Daytona Beach. 307.
https://commons.erau.edu/db-theses/307
