Temat: Maple - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Zastosowanie metod numerycznego odwrócenia przekształcenia Laplace’a w modelowaniu matematycznym wybranych procesów inżynierii chemicznej
Application of numerical Laplace inversion methods in mathematical modeling of selected processes of chemical engineering
Autorzy:: Wójcik, M.
Powiązania:: https://bibliotekanauki.pl/articles/134710.pdf
Data publikacji:: 2015
Wydawca:: ADVSEO
Tematy:: przekształcenie Laplace’a
Maple
modelowanie matematyczne
inżynieria chemiczna
Laplace transform
numerical Laplace inversion methods
Maple program
Opis:: The main aim of this work was a choice of a suitable numerical inversion method of Laplace transform to solving the model of gas flow through the measuring system for the determination of effective diffusion coefficient. In this paper, selected numerical Laplace inversion methods have been shown. These methods were implemented in the computer algebra system Maple®. Calculations have been made for a few tests of mathematical functions and the equation of heat conduction. The results allowed us to compare the accuracy of the calculations and speed of selected numerical inversion methods for Laplace transform. The Gaver-Stehfest method has proven the most effective to solving this problem.
Źródło:: Technical Issues; 2015, 3; 56-62
2392-3954
Pojawia się w:: Technical Issues
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: The Application of the Laplace Transform for Modeling of Gas Flow Using Maple®
Autorzy:: Wójcik, M.
Szukiewicz, M.
Kowalik, P.
Powiązania:: https://bibliotekanauki.pl/articles/972896.pdf
Data publikacji:: 2014
Wydawca:: Społeczna Akademia Nauk w Łodzi
Tematy:: Laplace transform
mathematical model
differential equations
Maple program
Opis:: The Laplace transform is powerful method for solving differential equations. This paper presents the application of Laplace transform to solve the mathematical model of gas flow through the measuring system. The basis of the mathematical model used to describe and simulate the analyzed process is a system of ordinary differential equations. As a result is obtained a single algebraic equation in terms of the complex variable s. In order to study the dynamics of the system these equation should be reverted to the time domain by performing an inverse Laplace transform. Calculations were performed in the environment of Maple®. Determining of mixing in a u-shape vessel is aim of presented calculations.
Źródło:: Journal of Applied Computer Science Methods; 2014, 6 No. 1; 43-53
1689-9636
Pojawia się w:: Journal of Applied Computer Science Methods
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

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

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Skocz do pozycji: 4.

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

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