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