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    Wyświetlanie 1-4 z 4
    Tytuł:
    Application of Numerical Laplace Inversion Methods in Chemical Engineering with Maple®
    Autorzy:
    Wójcik, M.
    Szukiewicz, M.
    Kowalik, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/108690.pdf
    Data publikacji:
    2015
    Wydawca:
    Społeczna Akademia Nauk w Łodzi
    Tematy:
    numerical inversion of Laplace transform
    gas flow model
    Maple program
    Opis:
    In this paper, the procedure of choice of the effective numerical inversion method of Laplace transform for solving of the mathematical model of gas flow was shown. Two inversion methods are evaluated in this work: the GaverStehfest method, and the Dubner and Abate method. The numerical tests has been made using test functions. Based on the test results the fast and accurate method was selected and applied for modeling of the gas flow. The GaverStehfest method has proven the most effective. The model was developed using the computer algebra system Maple®. Implementation of the methods were done by authors.
    Źródło:
    Journal of Applied Computer Science Methods; 2015, 7 No. 1; 5-15
    1689-9636
    Pojawia się w:
    Journal of Applied Computer Science Methods
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The efficiency of the gaver-stehfest method to solve one-dimensional gas flow model
    Autorzy:
    Wójcik, M.
    Szukiewicz, M.
    Kowalik, P.
    Próchniak, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/102652.pdf
    Data publikacji:
    2017
    Wydawca:
    Stowarzyszenie Inżynierów i Techników Mechaników Polskich
    Tematy:
    Laplace transform
    method for numerical inversion of the Laplace transform
    axial dispersion coefficient
    program Maple
    Opis:
    In this paper we examined the efficiency of one of the methods for numerical inversion of the Laplace transform: the Gaver-Stehfest method to find a solution to a one-dimensional gas flow model with axial dispersion. The algorithm was used to determine values of the axial dispersion coefficients DL and Pèclet numbers Pe on the basis of the pulse tracer technique. The obtained results of Pèclet numbers indicate that the gas flow is neither plug fl ow nor perfect mixing under operation condition. Numerical results are provided to confirm the efficiency of the presented method. Calculations were performed with the use of the CAS program type (Maple®).
    Źródło:
    Advances in Science and Technology. Research Journal; 2017, 11, 1; 246-252
    2299-8624
    Pojawia się w:
    Advances in Science and Technology. Research Journal
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analiza dokładności obliczeniowej wybranych metod numerycznych wyznaczania odwrotnej transformaty Laplace’a
    Analysis of the accuracy of selected numerical methods for the inversion of the Laplace transform
    Autorzy:
    Wójcik, M.
    Szukiewicz, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/134678.pdf
    Data publikacji:
    2016
    Wydawca:
    ADVSEO
    Tematy:
    Laplace transform
    numerical methods for the inversion of the Laplace transform
    Gaver-Stehfest method
    Honig and Hirdes
    program Maple
    Opis:
    This paper presents an analysis in terms of their accuracy of selected numerical methods for the inversion of the Laplace trans form. They were used to find solution of a gas flow model in real measuring system. The measurement unit, its application as well as its useful model were described in details in a work. We examined the Gaver-Stehfest method and the Honig and Hirdes method. The first one is based on combination of Gaver functionals. The second one is based on the Fourier series expansions. The results have confirmed the fact that the selected methods are suitable to solve analyzed problem, and showed that the algorithm developed by D. P. Gaver and H. Stehfest allows to obtain the best results of calculations. All calculations were using the computer algebra system Maple®. The presented algorithms have been implemented by the authors.
    Źródło:
    Technical Issues; 2016, 3; 141-146
    2392-3954
    Pojawia się w:
    Technical Issues
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Mathematical modelling of gas flow and determination of axial gas dispersion coefficients using numerical inverse laplace transform and maple in a typical commercial apparatus
    Autorzy:
    Wójcik, M.
    Szukiewicz, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/185793.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    numerical inversion of the Laplace transform
    mathematical modelling
    axial gas dispersion coefficient
    Maple
    numeryczna inwersja transformaty Laplaca
    modelowanie matematyczne
    osiowy współczynnik dyspersji gazu
    Opis:
    In this paper, a new simple method for determination of flow parameters, axial dispersion coefficients DL and Péclet numbers Pe was presented. This method is based on an accurate measurement model considering pulse tracer response. Our method makes it possible to test the character of gas flow motion and precisely measure flow parameters for different pressures and temperatures. The idea of combining the transfer function, numerical inversion of the Laplace transform and optimisation method gives many benefits like a simple and effective way of finding solution of inverse problem and model coefficients. The calculated values of flow parameters (DL and/or Pe) suggest that in the considered case the gas flow is neither plug flow nor perfect mixing under operation condition. The obtained outcomes agree with the gas flow theory. Calculations were performed using the CAS program type, Maple.
    Źródło:
    Chemical and Process Engineering; 2018, 39, 2; 223--232
    0208-6425
    2300-1925
    Pojawia się w:
    Chemical and Process Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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