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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.

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Muhammad Usman

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This poster reflects research conducted as part of course project designed to give students experience in the research process.

Research exercise: A Mathematical Model to Calculate an Animals Equilibrium Temperature based on the Environmental Temperature