Presenter(s)
Victoria A. Wawzyniak
Files
Download Project (601 KB)
Description
Every animal’s temperature is directly correlated to the temperature of the environment that the animal lives in. The animal’s equilibrium temperature can be modeled using mathematical tools based on the temperature of the environment, the amount of solar radiation, and the heating characteristics of the specific animal. Newton’s Law of Cooling can be used to model this sort of phenomena of temperature changes. This mathematical model provides a relation between the unknown temperature and the derivative of this unknown temperature. In this work we will solve this model numerically using different techniques such as the Euler method, the three-term Taylor method, and the Runge-Kutta method. Using these three different mathematical methods, the animal’s body temperature due to the environment can be determined. We use Matlab for all numerical computations.
Publication Date
4-9-2015
Project Designation
Course Project
Primary Advisor
Muhammad Usman
Primary Advisor's Department
Mathematics
Keywords
Stander Symposium project
Disciplines
Arts and Humanities | Business | Education | Engineering | Life Sciences | Medicine and Health Sciences | Physical Sciences and Mathematics | Social and Behavioral Sciences
Recommended Citation
"Research exercise: A Mathematical Model to Calculate an Animals Equilibrium Temperature based on the Environmental Temperature" (2015). Stander Symposium Projects. 550.
https://ecommons.udayton.edu/stander_posters/550
Included in
Arts and Humanities Commons, Business Commons, Education Commons, Engineering Commons, Life Sciences Commons, Medicine and Health Sciences Commons, Physical Sciences and Mathematics Commons, Social and Behavioral Sciences Commons
Comments
This poster reflects research conducted as part of a course project designed to give students experience in the research process.