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Application of Numerical Laplace Inversion Methods in Chemical Engineering with Maple®

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Strony
5--15
Opis fizyczny
Bibliogr. 11 poz., rys., tab.
Twórcy
autor
  • Department of Chemical and Process Engineering Rzeszow University of Technology, Rzeszow, Poland
  • Department of Chemical and Process Engineering Rzeszow University of Technology, Rzeszow, Poland
autor
  • Institute of New Chemical Synthesis, Pulawy, Poland
Bibliografia
  • 1. Wójcik M., Szukiewicz M., Kowalik P., 2014, The application of the Laplace transform for modeling of gas flow using Maple®, The Journal of Applied Computer Science Methods, vol. 6, pp. 43-53
  • 2. Gaul L., Schanz M., 1999, A comparative study of three boundary element approaches to calculate the transient response of viscoelastic solids with unbounded domains, Computational Methods in Applied Mathematics, vol. 179, pp. 111- 123
  • 3. Mathur R., Poonia S., 2013, Application of Laplace transform to Newtonian fluid problems, Journal of Science and Research, vol. 2, pp. 358-361
  • 4. Coronado M., Ramirez-Sabag J., Valdiviezio-Mijangos O., 2007, On the boundary conditions in tracer transport model for fractured porous underground formations, Revista Mexicana De Fisica, vol. 53, pp. 260-269
  • 5. Chiang Li-Wei., 1989, The application of numerical Laplace inversion methods to groundwater flow and solute transport problems, New Mexico Institute of Mining and Technology, New Mexico
  • 6. Kocabas I., 2011, Application of iterated Laplace transformation to tracer transients in heterogeneous porous media, Journal of the Franklin Institute, vol. 348, pp. 1339-1362
  • 7. Hassanzadeh H., Poolad-Darvish M., 2007, Comparison of different numerical Laplace inversion methods for engineering application, Applied Mathematics and Computation, vol. 189, pp. 1966-1981
  • 8. Abate J., Valkó P., 2004, Multi-precision Laplace transform inversion, International Journal for Numerical Methods in Engineering, vol. 60, pp. 979-993
  • 9. Wang Q., Zhan H., 2015, On different numerical inverse Laplace methods for solute transport problems, Advances in Water Resources, vol. 75, pp. 80-92
  • 10. Cheng A., Sidauruk P., 1994, Approximate inversion of the Laplace transform, The Mathematical Journal, vol. 4, pp.76-82
  • 11. Knight J.H., Raiche A.P., 1982, Transient electromagnetic calculations using the Gaver-Stehfest inverse Laplace transform method, Geophysics, vol. 47, pp. 47- 50
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-5701c3c6-7a07-4e41-8fb5-2c24f2cc83ef
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