Comparison of different numerical Laplace inversion methods for engineering applications

Hassanzadeh, Hassan; Pooladi‐Darvish, Mehran

doi:10.1016/j.amc.2006.12.072

Cited by 124 publications

(78 citation statements)

References 12 publications

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“…[15] Dispersion Coefficient Figure 3 demonstrates the dimensionless dispersion coefficients for the chemical species transports in tubes with constant wall and inlet concentrations versus the Peclet number using Equations (24) and (25). The results reveal that the dispersion coefficient for a tube with constant wall and zero inlet concentrations is less than the dispersion coefficient for a tube with a constant inlet concentration and a no-flux boundary condition at the wall.…”

Section: Resultsmentioning

confidence: 96%

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A reduced‐order model for chemical species transport in a tube with a constant wall concentration

Dejam

Chen

2017

Can J Chem Eng

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A two-dimensional advection-diffusion model accompanied with a parabolic velocity profile of Poiseuille flow is considered for the chemical species transport in a tube with a constant wall concentration. The Reynolds decomposition technique is applied to reduce it to an equivalent one-dimensional model for advective-dispersive transport in a tube through which the effective advection coefficient, the dispersion coefficient, and the effective Sherwood number are developed for the problem under study. The derived and the classical Taylor models are also compared in order to find the difference between the two arrangements. The reduced-order model for the transport equation shows that the effective advection coefficient increases, whereas the dispersion coefficient in the tube decreases as compared to the classical Taylor equation. The effective Sherwood number for the steady state form of the developed model is found to be only a function of the Peclet number, which varies in the range of 3.215 Sh 4. These results find application in design of experiments and improve our understanding of mass transfer in microfluidic devices.

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Section: Resultsmentioning

confidence: 96%

“…By applying a numerical Laplace inversion technique, [25,26] the time domain solutions can be determined for the problem under study. Here, the method of Fourier series [27] is used to obtain the concentration in the time domain as follows:…”

Section: Solution Of the Governing Equationmentioning

confidence: 99%

A reduced‐order model for chemical species transport in a tube with a constant wall concentration

Dejam

Chen

2017

Can J Chem Eng

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“…Theoretically, the large value of parameter N determines a more accurate solution but if N is too large, the results may be worsened due to round-off errors. Thus, a suitable choice of value N is important to achieve the most accurate solution [6]. Many authors propose a different value of the parameter N to obtain the most accurate solution.…”

Section: The Gaver-stehfest Methodsmentioning

confidence: 99%

The Efficiency of the Gaver-Stehfest Method to Solve of One-Dimensional Gas Flow Model

Wójcik¹,

Szukiewicz²,

Kowalik³

et al. 2017

Adv. Sci. Technol. Res. J.

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“…Sometimes, an analytical inversion of a Laplace domain solution is di¢ cult to obtain; therefore, a numerical inversion method must be used. A nice comparison of four frequently used numerical Laplace inversion algorithms is given by Hassan Hassanzadeh, Mehran Pooladi-Darvish [18]. In this work we use the Stehfest's algorithm [28] that is easy to implement.…”

Section: Existence Of the Solutionmentioning

confidence: 99%

A computational method for integro-differential hyperbolic equation with integral conditions

BOUZIANI¹

2013

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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C o m m u n .Fa c .S c i.U n iv .A n k .S e rie s A 1 Vo lu m e 6 2 , N u m b e r 1 , P a g e s 1 3 1 -1 4 2 (2 0 1 3 ) IS S N 1 3 0 3 -5 9 9 1 A COMPUTATIONAL METHOD FOR INTEGRO-DIFFERENTIAL HYPERBOLIC EQUATION WITH INTEGRAL CONDITIONS* AHCENE MERAD AND ABDELFATAH BOUZIANIAbstract. The subject of this work is to prove existence, uniqueness, and continuous dependence upon the data of solution to integrodi¤erential hyperbolic equation with integral conditions. The proofs are based on a priori estimates and Laplace transform method. Finally, the solution by using a numerical technique for inverting the Laplace transforms is obtained.

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Comparison of different numerical Laplace inversion methods for engineering applications

Cited by 124 publications

References 12 publications

A reduced‐order model for chemical species transport in a tube with a constant wall concentration

A reduced‐order model for chemical species transport in a tube with a constant wall concentration

The Efficiency of the Gaver-Stehfest Method to Solve of One-Dimensional Gas Flow Model

A computational method for integro-differential hyperbolic equation with integral conditions

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