A finite difference method for a Stefan problem

Date

1978-05

Journal Title

Journal ISSN

Volume Title

Publisher

Texas Tech University

Abstract

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 ([2], [31, [10], [12], [14], [16], [17]).

Description

Keywords

Parabolic, Differential equations

Citation