Analysis of numerical efficiency of TD-FEM computation with BDF
نویسنده
چکیده
A study is presented on the topic of numerical efficiency of TD-FEM with the use of BDF. The BDF coefficients are calculated with the use of Lagrange polynomials. The paper also presents two strategies of time-step adaptation. The obtained numerical solutions have been compared with analytical solutions of the selected problems in order to check their accuracy. Streszczenie. Przedstawiono badania na temat efektywności numerycznej metody TD-FEM przy wykorzystaniu metody różnic wstecznych. Współczynniki metody różnic wstecznych otrzymano za pomocą wielomianów Lagrange’a. W artykule przedstawiono również dwie strategie automatycznego doboru kroku czasowego. W celu sprawdzenia dokładności rozwiązań numerycznych porównano je z rozwiązaniami analitycznymi rozpatrzonych zagadnień. (Analiza efektywności numerycznej metody TD-FEM z wykorzystaniem metody różnic wstecznych).
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