A Study of Approximated Solutions of Heat Conduction Problems Using Approximated Eigenfunctions

Authors

Justin Taylor, Southeast Missouri State UniversityFollow

Abstract

Let L be the length of a rod and u(x,t) be its temperature for [0,L]X[0,infinity) and assume the initial and boundary temperatures of the rod are f(x) and 0 respectively. In this paper we explain and demostrate a method for estimating the eigenfucntions appearing in the solution to the corresponding heat conduction problem.

Author Bio

I begin my graduate study this Fall in the University of Kentucky and plan to study analysis and partial differential equations. I also have a baccalaureate of science degree in pure mathematics from Southeast Missouri State University.

Faculty Sponsor

W.Y.Chan

Recommended Citation

Taylor, Justin (2007) "A Study of Approximated Solutions of Heat Conduction Problems Using Approximated Eigenfunctions," Rose-Hulman Undergraduate Mathematics Journal: Vol. 8: Iss. 1, Article 3.
Available at: https://scholar.rose-hulman.edu/rhumj/vol8/iss1/3