Reconstructing the Time-Dependent Thermal Coefficient in 2D Free Boundary Problems
نویسندگان
چکیده
The inverse problem of reconstructing the time-dependent thermal conductivity and free boundary coefficients along with temperature in a two-dimensional parabolic equation initial conditions additional measurements is, for first time, numerically investigated. This appears extensively modelling various phenomena engineering physics. For instance, steel annealing, vacuum-arc welding, fusion continuous casting, metallurgy, aircraft, oil gas production during drilling operation wells. From literature we already know that this has unique solution. However, is still ill-posed by being unstable to noise input data. numerical realization, apply alternating direction explicit method Tikhonov regularization find stable accurate solution finite differences. root mean square error (rmse) values levels p both smooth non-smooth Examples are compared. resulting nonlinear minimization solved using MATLAB subroutine lsqnonlin. Both exact simulated noisy data inverted. Numerical results presented two examples show efficiency computational accuracy stability even presence
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ژورنال
عنوان ژورنال: Computers, materials & continua
سال: 2021
ISSN: ['1546-2218', '1546-2226']
DOI: https://doi.org/10.32604/cmc.2021.016036