Temat: Maple program - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Artykuł

Skocz do pozycji: 2.

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

Skocz do pozycji: 3.

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

Artykuł

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