Temat: program 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:: A simple method of determination of the degree of gas mixing by numerical Laplace inversion and Maple®
Autorzy:: Wójcik, M.
Szukiewicz, M.
Powiązania:: https://bibliotekanauki.pl/articles/200207.pdf
Data publikacji:: 2019
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: inverse boundary value problem
Gaver-Stehfest algorithm
axial gas dispersion coefficient
Peclet number
CAS program
algorytm Gavera-Stehfesta
dyspersja gazu
liczba Pecleta
program CAS
Maple
Opis:: This article presents a new efficient method of determining values of gas flow parameters (e.g. axial dispersion coefficient, DL and Pèclet number, Pe). A simple and very fast technique based on the pulse tracer response is proposed. It is a method which combines the benefits of a transfer function, numerical inversion of the Laplace transform and optimization allows estimation of missing coefficients. The study focuses on the simplicity and flexibility of the method. Calculations were performed with the use of the CAS-type program (Maple®). The correctness of the results obtained is confirmed by good agreement between the theory and experimental data for different pressures and temperature. The CAS-type program is very helpful both for mathematical manipulations as a symbolic computing environment (mathematical formulas of Laplace-domain model are rather sophisticated) and for numerical calculations. The method of investigations of gas flow motion is original. The method is competitive with earlier methods.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 2; 235-240
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

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