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On the approximate inverse Laplace transform of the transfer function with a single fractional order
Transactions of the Institute of Measurement and Control, 2020The history of fractional calculus dates back to 1600s and it is almost as old as classical mathematics. Although many studies have been published on fractional-order control systems in recent years, there is still a lack of analytical solutions.
Ali Yüce, N. Tan
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Methods for laplace transform inversion
Vestnik St. Petersburg University: Mathematics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Poroshina, N. I., Ryabov, V. M.
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Multi‐precision Laplace transform inversion
International Journal for Numerical Methods in Engineering, 2004AbstractFor the numerical inversion of Laplace transforms we suggest to use multi‐precision computing with the level of precision determined by the algorithm. We present two such procedures. The Gaver–Wynn–Rho (GWR) algorithm is based on a special sequence acceleration of the Gaver functionals and requires the evaluation of the transform only on the ...
Abate, J., Valkó, P. P.
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IEEE Transactions on Antennas and Propagation, 2019
A novel finite-difference time-domain (FDTD) approach is proposed for the analysis of wave propagation in a general frequency-dependent medium. In the proposed method, formulation of the fractional derivatives in the time-domain representation is ...
J. Chakarothai
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A novel finite-difference time-domain (FDTD) approach is proposed for the analysis of wave propagation in a general frequency-dependent medium. In the proposed method, formulation of the fractional derivatives in the time-domain representation is ...
J. Chakarothai
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Inverse Laplace Transform of the Ground Impedance Matrix of Overhead Lines
IEEE transactions on electromagnetic compatibility (Print), 2018This letter deals with the calculation in time domain of the transient ground resistance matrix of an overhead transmission line (TL). Each element of the matrix is evaluated by solving analytically the inverse Laplace transform of the general integral ...
F. Tossani, F. Napolitano, A. Borghetti
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2002
General formulae 0. \(\mathcal{L}_\gamma ^{ - 1}\left( {F\left( \gamma \right)} \right) = :f(y), where F\left( \gamma \right) = \mathop \smallint \limits_0^\infty {e^{ - \gamma y}}f(y)dy, Re \gamma \geqslant 0 \)
Andrei N. Borodin, Paavo Salminen
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General formulae 0. \(\mathcal{L}_\gamma ^{ - 1}\left( {F\left( \gamma \right)} \right) = :f(y), where F\left( \gamma \right) = \mathop \smallint \limits_0^\infty {e^{ - \gamma y}}f(y)dy, Re \gamma \geqslant 0 \)
Andrei N. Borodin, Paavo Salminen
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Fast inverse laplace transform for the unsteady thermal response of geothermal heat exchangers
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2019 (ICCMSE-2019), 2019The successful harnessing of geothermal energy for the efficient heating and cooling of buildings relies upon the correct sizing of geothermal heat exchangers.
Miguel Hermanns
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INVERSE HEAT CONDUCTION BY DIRECT INVERSE LAPLACE TRANSFORM
Numerical Heat Transfer, 1981The Laplace transform technique is used to solve the inverse heat conduction problem. The inverse Laplace transform is carried out directly by using a novel technique that is both simple and accurate. Exact and noisy data are used to infer the boundary temperature.
K. C. Woo, L. C. Chow
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MACSYMS's inverse Laplace transform
ACM SIGSAM Bulletin, 1989The inverse Laplace transform capability of MACSYMA has been improved and extended. It has been extended to evaluate certain limits, sums, derivatives and integrals of Laplace transforms. It also takes advantage of the inverse Laplace transform convolution theorem, and can deal with a wider range of symbolic parameters.
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