Numerical inverse transformation of Laplace in the heat conduction problem for a thermosensitive half-space

Fìz.-mat. model. ìnf. tehnol. 2018, 27:9-18

Abstract

The nonlinear problem of conductivity for a thermosensitive half-space heated by convective heat exchange with the environment is solved using an analytic-numerical approach based on the integral transformation of Laplace and the formula of its numerical inversion adapted to nonstationary heat conduction problems. The problem is linearized with the Kirchhoff variable and the linearization parameter. The calculations of the temperature field distributions indicate the efficiency of the application of the developed approach to the solution of non-stationary heat conduction problems.

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