School of Mathematical & Statistical Sciences Faculty Publications

Approximate solutions to the one-phase Stefan problem

Document Type

Article

Publication Date

2026

Abstract

In this paper we consider the one-phase Stefan problem for melting and solidification in one-space dimension. By using a modified separation of variables method and power series expansion we obtain approximate solutions to this problem. The constructed solutions satisfy all of the boundary and initial conditions. The properties of the solutions are then studied in the context of the corresponding classical problem and error analysis provided. The advantages and the limitations of the procedure are discussed and numerical examples presented.

Comments

https://rdcu.be/e4rtz

Publication Title

Zeitschrift für angewandte Mathematik und Physik

DOI

10.1007/s00033-025-02676-7

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