About Inverse Laplace Transform of a Dynamic Viscosity Function. [PDF]
Materials (Basel), 2022 A dynamic viscosity function plays an important role in water hammer modeling. It is responsible for dispersion and decay of pressure and velocity histories.
Urbanowicz K +3 more
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Complete analytic solutions for convection-diffusion-reaction-source equations without using an inverse Laplace transform. [PDF]
Sci Rep, 2020 Transient mass-transfer phenomena occurring in natural and engineered systems consist of convection, diffusion, and reaction processes. The coupled phenomena can be described by using the unsteady convection-diffusion-reaction (CDR) equation, which is ...
Kim AS.
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Inverse Laplace transform and multiexponential fitting analysis of T2 relaxometry data: a phantom study with aqueous and fat containing samples. [PDF]
Eur Radiol Exp, 2020 Background The inverse Laplace transform (ILT) is the most widely used method for T2 relaxometry data analysis. This study examines the qualitative agreement of ILT and a proposed multiexponential (Mexp method) regarding the number of T2 components.
Ioannidis GS +5 more
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Pressure-Dependent Rate Constant Predictions Utilizing the Inverse Laplace Transform: A Victim of Deficient Input Data. [PDF]
ACS Omega, 2018 k(E) can be calculated either from the Rice–Ramsperger–Kassel–Marcus theory or by inverting macroscopic rate constants k(T). Here, we elaborate the inverse Laplace transform approach for k(E) reconstruction by examining the impact of k(T) data fitting ...
Firaha DS +3 more
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Numerical Inverse Laplace Transform Methods for Advection-Diffusion Problems [PDF]
Symmetry, 2022 Partial differential equations arising in engineering and other sciences describe nature adequately in terms of symmetry properties. This article develops a numerical method based on the Laplace transform and the numerical inverse Laplace transform for ...
Kamran Kamran +5 more
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Results in Physics, 2020 A numerical inverse Laplace transform method is established using Bernoulli polynomials operational matrix of integration. The efficiency of the method is demonstrated through some standard nonlinear differential equations: Duffing equation, Van der Pol ...
Dimple Rani, Vinod Mishra
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Optimal Parallel Algorithm of Fast Inverse Laplace Transform for Electromagnetic Analysis [PDF]
IEEE Antennas and Wireless Propagation Letters, 2020 Fast inverse Laplace transform (FILT) is a simple and concise technique for performing inverse Laplace transforms. This letter develops an efficient parallel algorithm for FILT for solving various electromagnetic problems.
Di Wu +2 more
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On the Inverse Laplace Transform
Kathmandu University Journal of Science, Engineering and Technology, 2013 In this work, we demonstrate that the Tuan-Duc formula employed for inverting the Laplace transform is equivalent to the expression provided by Post-Widder.
Albino Hernández-Galeana
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Stabilization of the inverse Laplace transform of multiexponential decay through introduction of a second dimension. [PDF]
J Magn Reson, 2013 Celik H +4 more
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Inverse Laplace Transform for Transient-State Fluid Line Network Simulation [PDF]
, 2011 Aaron C. Zecchin +2 more
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