A meshless frequency-domain method based on the Riccati equation and perturbation theory models heat diffusion in non-homogeneous non-linear building walls, eliminating discretization errors and correcting peak heating loads by 21.9%.
Advanced mathematical methods for scientists and engi- neers i: Asymptotic methods and perturbation theory
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Perturbative Analytical Framework for Thermal Wave Diffusion in Non-linear Building Envelopes
A meshless frequency-domain method based on the Riccati equation and perturbation theory models heat diffusion in non-homogeneous non-linear building walls, eliminating discretization errors and correcting peak heating loads by 21.9%.