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<p>We present some results of using the projection method of least squares for finding the first- and second-order moment functions for a solution of the heat equation taking into account a random change in the coefficient of heat conductivity. Mathematical modeling was performed for the interaction of a wide beam of pulsed laser radiation with the surface of a single-crystal semiconductor target. An ordinal error estimate for a quadratic functional is obtained. The results of a computational experiment for the parameters characteristic of cadmium telluride are presented.</p>

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ON THE CALCULATION OF THE MOMENT FUNCTIONS OF A STOCHASTIC HEAT CONDUCTION PROCESS BY USING THE PROJECTION METHOD

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • E. V. Seregina,
  • M. A. Stepovich,
  • V. V. Kalmanovich

摘要

We present some results of using the projection method of least squares for finding the first- and second-order moment functions for a solution of the heat equation taking into account a random change in the coefficient of heat conductivity. Mathematical modeling was performed for the interaction of a wide beam of pulsed laser radiation with the surface of a single-crystal semiconductor target. An ordinal error estimate for a quadratic functional is obtained. The results of a computational experiment for the parameters characteristic of cadmium telluride are presented.