Mathematical Modeling and Analysis of Temperature Regime in Digital Devices Due to Surface Heating

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Analytical solutions were derived for nonlinear heat conduction equations in thermosensitive plates due to surface heating.
The Kirchhoff transformation was utilized to linearize the heat conduction equation and boundary conditions effectively.
Numerical analysis revealed temperature fields based on spatial coordinates, highlighting thermal stability in digital devices.
Developed models aim to prevent overheating, ensuring reliability of structural units and electronic devices.

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Mathematical models and Fourier transforms analyze temperature regimes in thermosensitive plates, indicating methods for preventing overheating.

V. І. Havrysh (2025) studied this question.

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Mathematical models and Fourier transforms analyze temperature regimes in thermosensitive plates, indicating methods for preventing overheating.