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[29365] Artykuł: Trefftz Functions applied to Direct and Inverse Non-Fourier Heat Conduction ProblemsCzasopismo: JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME Tom: 136, Zeszyt: 9, Strony: 1-9ISSN: 0022-1481 Wydawca: ASME, TWO PARK AVE, NEW YORK, NY 10016-5990 USA Opublikowano: 2014 Liczba arkuszy wydawniczych: 0.80 Autorzy / Redaktorzy / Twórcy Grupa MNiSW: Publikacja w czasopismach wymienionych w wykazie ministra MNiSzW (część A) Punkty MNiSW: 35 Klasyfikacja Web of Science: Article ![]() ![]() Keywords: non-Fourier heat conduction  Trefftz functions  Treftz method  inverse problem  |
The paper presents a new approximate method of solving non-Fourier heat conduction problems. The approach described here is suitable for solving both direct and inverse problems. The way of generating Trefftz functions for non-Fourier heat conduction equation has been shown. Obtained functions have been used for solving direct and boundary inverse problems (identification of boundary condition). As a rule, inverse problems are ill-posed. Therefore, each method of solving these problems has to be checked according to disturbance of the input data. Presented examples confirm high usability of the presented approach for solving direct and inverse non-Fourier heat conduction problems