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Date of Award

4-2001

Document Type

Thesis - Open Access

Degree Name

Master of Aeronautical Science

Department

Graduate Studies

Committee Chair

Dr. Richard S. Baty

Committee Member

Dr. Roy S. Baty

Committee Member

Dr. 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.

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