Date of Award
2016
Degree Name
Mathematics
College
College of Science
Type of Degree
M.A.
Document Type
Thesis
First Advisor
Bonita Lawrence
Second Advisor
Clayton Brooks
Third Advisor
Ralph Oberste-Vorth
Abstract
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.
Subject(s)
Differential calculus -- Data processing.
Calculus.
Recommended Citation
Fischer, Jacob E., "A Mechanical Investigation of Second Order Homogeneous Dynamic Equations on a Time Scale" (2016). Theses, Dissertations and Capstones. 990.
https://mds.marshall.edu/etd/990
