Engineers are researching solutions to resolve many of today's technical challenges. Numerical techniques are used to solve the mathematical models that arise in engineering problems. A numerical technique that is increasingly being used to solve mathematical models in engineering research is called the B-spline Collocation Method. The B-spline Collocation Method has a few distinct advantages over the Finite Element and Finite Difference Methods. The main advantage is that the B-spline Collocation Method efficiently provides a piecewise-continuous, closed form solution. Another advantage is that the B-spline Collocation Method procedure is very simple and easy to apply to many problems involving partial differential equations. The current research involves developing, and extensively documenting, a comprehensive, step-by-step procedure for applying the B-spline Collocation Method to the solution of Boundary Value problems. In addition, the current research involves applying the B-spline Collocation Method to solve the mathematical model that arises in the deflection of a geometrically nonlinear, cantilevered beam. The solution is then compared to a known solution found in the literature.
Library of Congress Subject Headings
Spline theory; Computer-aided design; Engineering design--Mathematical models
Department, Program, or Center
Mechanical Engineering (KGCOE)
Magoon, Jason, "Application of the b-spline collocation method to a geometrically non-linear beam problem" (2010). Thesis. Rochester Institute of Technology. Accessed from
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