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Abstract <p>In certain pressure and temperature ranges, high-precision thermal equations of state possess multiple roots, with only one being the desired physical solution to the problem. This paper considers methods for setting initial values to calculate the desired root of the equation. A method for verifying the found root has been developed, enabling the exclusion of nonphysical solutions. The proposed approach allows for the construction of a robust algorithm for numerically solving transcendental equations of state for practical applications.</p>

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Numerical Solution of High-Precision Multiconstant Equations of State

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • E. V. Koldoba

摘要

Abstract

In certain pressure and temperature ranges, high-precision thermal equations of state possess multiple roots, with only one being the desired physical solution to the problem. This paper considers methods for setting initial values to calculate the desired root of the equation. A method for verifying the found root has been developed, enabling the exclusion of nonphysical solutions. The proposed approach allows for the construction of a robust algorithm for numerically solving transcendental equations of state for practical applications.