An Algorithm for the One-Phase Stefan Problem.

Abstract

An algorithm is proposed for solving one-dimensional free boundary problems with change of phase. The technique consists of solving the heat equation in progressively increasing rectangles whose size is controlled by the Stefan condition. Convergence of the scheme is shown and an estimate of the rate of convergence is given. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1981
Accession Number
ADA103880

Entities

People

  • E. Dibenedetto
  • R. Spigler

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Convergence
  • Differential Equations
  • Equations
  • Equations Of State
  • Geometry
  • Heat Energy
  • Identities
  • Inequalities
  • Integrals
  • Mathematics
  • Numerical Analysis
  • Partial Differential Equations
  • Sequences
  • Theorems
  • United States
  • Universities

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.
  • Mathematics or Statistics