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<p>In this paper, a new numerical method for solving the Stefan problem based on the time function of phase transitions is proposed. A nonlinear integral equation of minimal dimension is obtained and an efficient numerical method for solving this equation is proposed. The method is tested on important problems of thawing of frozen soils with various methods of thermal action.</p>

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BOUNDARY INTEGRAL EQUATIONS OF THE STEFAN PROBLEM IN TERMS OF THE TIME OF PHASE TRANSITION

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • R. V. Harutyunyan

摘要

In this paper, a new numerical method for solving the Stefan problem based on the time function of phase transitions is proposed. A nonlinear integral equation of minimal dimension is obtained and an efficient numerical method for solving this equation is proposed. The method is tested on important problems of thawing of frozen soils with various methods of thermal action.