A finite difference method for a Stefan problem
Smith, Thomas Clayton
MetadataShow full item record
The purpose of this paper is to approximate the solution of a Stefan problem using an implicit finite difference analog for the heat equation and an explicit finite difference analog for the differential equation describing the free boundary. Also, we shall show that the finite difference solution we obtain converges uniformly to the actual solution. Numerous numerical schemes for various Stefan problems have been successfully employed by several authors (, [31, , , , , ).