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Heating of a half-space by a moving thermal laser pulse source. (English) Zbl 1473.80007

Summary: The solution of a spatial non-steady problem of the influence of a moving heat flow source (laser heating) on the surface of half-space using superposition principle and transient functions method is presented, and a numerical analytical algorithm based on discretization in time and space coordinates is developed and realized.

MSC:

80A19 Diffusive and convective heat and mass transfer, heat flow
80A21 Radiative heat transfer
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
44A10 Laplace transform
78A60 Lasers, masers, optical bistability, nonlinear optics
80M20 Finite difference methods applied to problems in thermodynamics and heat transfer
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