Date of Award
College of Science
Type of Degree
This thesis covers the basic aspects of time scale calculus, a branch of mathematics combining the theories of differential equations and difference equations. Using the properties of time scale calculus we analyze a second order homogeneous dynamic equation with constant coefficients, in particular, y ∆∆ − 1 6 y ∆ + 1 8 y = 0. Following the analysis, this problem will be graphically evaluated using Marshall University’s Differential Analyzer, affectionately named Art. A differential analyzer is a machine that mechanically integrates by way of related rates of rotating rods. The process for making the jump between intervals on a time scale will be discussed, and the behavior of the solution as the gaps decrease will be evaluated.
Differential calculus -- Data processing.
Fischer, Jacob E., "A Mechanical Investigation of Second Order Homogeneous Dynamic Equations on a Time Scale" (2016). Theses, Dissertations and Capstones. 990.