Identification of a time-dependent source term in nonlinear hyperbolic or parabolic heat equation
| Autor: | G. M. Zayats, V. T. Borukhov |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Fluid Flow and Transfer Processes
FTCS scheme Mechanical Engineering MathematicsofComputing_NUMERICALANALYSIS Relativistic heat conduction Condensed Matter Physics Parabolic partial differential equation Nonlinear system Alternating direction implicit method Elliptic partial differential equation Applied mathematics Heat equation Hyperbolic partial differential equation Mathematics |
| Zdroj: | International Journal of Heat and Mass Transfer. 91:1106-1113 |
| ISSN: | 0017-9310 |
| DOI: | 10.1016/j.ijheatmasstransfer.2015.07.066 |
| Popis: | A problem of identification of the heat transfer sources in nonlinear media is considered with account for the time of heat flux relaxation. In order to solve the identification problem we use the approach based on the theory of inverse infinite-dimensional open dynamical systems (DS) or, in other words, input-state-output systems. For solving the identification problems we used finite-difference methods. The results of numerical simulation of the problems of internal heat sources identification in nonlinear hyperbolic or parabolic equation are presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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