On the Numerical Solution of Solidification of Water

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Abstract

The objective of this paper is to find an economical computer algorithm using a third-degree polynomial for the free boundary problem corresponding to phase change problem. We solve the problem to obtain the approximate analytical expression for the temperature distribution and the movement of the interface using the constrained integral method. Results are validated against existing numerical methods, demonstrating strong agreement with other techniques.

Keywords:

Constrained integral method melting and solidification moving boundary problem Stefan problem phase change ice bank

Author Biographies

  • Abdellatif Boureghda

    Laboratory of Fundamental and Numerical Mathematics, Faculty of Sciences, Ferhat Abbas University Setif 19137, Algeria

    Department of Mathematics, IRIMAS Haute Alsace University, Faculty of Sciences and Techniques 6, rue des Frères Lumière 68093 Mulhouse Cedex France

  • Soumaya Belabbes
    Laboratory of Fundamental and Numerical Mathematics, Faculty of Sciences, Ferhat Abbas University Setif 19137, Algeria
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DOI

10.12150/jnma.2026.160

How to Cite

On the Numerical Solution of Solidification of Water. (2026). Journal of Nonlinear Modeling and Analysis, 8(1), 160–169. https://doi.org/10.12150/jnma.2026.160