English

On a Boundary Updating Method for the Scalar Stefan Problem

Numerical Analysis 2022-02-15 v1 Numerical Analysis

Abstract

We report on a general purpose method for the scalar Stefan problem inspired by the standard boundary updating method used in several existence proofs. By suitably modifying it we can solve numerically any kind of Stefan problem. We present a theoretical justification of the method and several computational results.

Keywords

Cite

@article{arxiv.2202.06418,
  title  = {On a Boundary Updating Method for the Scalar Stefan Problem},
  author = {Evangelos F. Magirou and Paraskevas Vassalos and Nikolaos Barakitis},
  journal= {arXiv preprint arXiv:2202.06418},
  year   = {2022}
}
R2 v1 2026-06-24T09:34:23.054Z