We propose a two-dimensional mathematical model based on Galerkin’s spatial method combined with a theta time scheme applied to the heat equations. This model has been applied to a hypothetical example in which the obtained results are compared with the real experimental data. This comparison allow us to predict the soil temperature at different depths as well as at different time periods according to certain conditions imposed on the weather.
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Talbi, N., Dhahbi, A.B., Boulaaras, S. et al. A Two Dimensional Mathematical Model of Heat Propagation Equation and its Applications. Comput Math Model 31, 338–354 (2020). https://doi.org/10.1007/s10598-020-09495-7
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DOI: https://doi.org/10.1007/s10598-020-09495-7