Solving Nonlinear Aeronautical Problems Using the Carleman Linearization Method

<p>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.</p>

Name thesis:degree_name

Master of Aeronautical Science

Level thesis:degree_level

Thesis - Open Access

Discipline thesis:degree_discipline

Aeronautical Science

Year

2001

Author dc:creator

• Gaude, Brian William

Contributors dc:contributor

• Richard S. Baty
• Roy S. Baty
• John C. Hogan

• nonlinear
• aeronautical
• Carleman
• linearization
• Aerospace Engineering

Repository record dc:identifier

https://commons.erau.edu/db-theses/307

OAI identifier oai:identifier

oai:commons.erau.edu:db-theses-1096