TY - JOUR
T1 - Numerical inversion of certain laplace transforms by the direct application of fast fourier transform (FFT) algorithm
AU - Hsu, J. T.
AU - Dranoff, J. S.
PY - 1987
Y1 - 1987
N2 - The numerical inversion of Laplace transforms by means of the finite Fourier cosine transform, as presented by Dubner and Abate, was analysed, and it was found that the proper inversion formula should contain the Fourier sine series as well. Based on this complete Fourier series approach, the Fast Fourier Transform (FFT) algorithm has been directly adapted to invert Laplace transforms numerically, and the method has been applied to several chemical engineering problems. Compared with the results obtained by other conventional techniques, the direct FFT technique was found to be very simple, accurate, efficient and generally superior.
AB - The numerical inversion of Laplace transforms by means of the finite Fourier cosine transform, as presented by Dubner and Abate, was analysed, and it was found that the proper inversion formula should contain the Fourier sine series as well. Based on this complete Fourier series approach, the Fast Fourier Transform (FFT) algorithm has been directly adapted to invert Laplace transforms numerically, and the method has been applied to several chemical engineering problems. Compared with the results obtained by other conventional techniques, the direct FFT technique was found to be very simple, accurate, efficient and generally superior.
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U2 - 10.1016/0098-1354(87)80011-X
DO - 10.1016/0098-1354(87)80011-X
M3 - Article
AN - SCOPUS:0023247698
SN - 0098-1354
VL - 11
SP - 101
EP - 110
JO - Computers and Chemical Engineering
JF - Computers and Chemical Engineering
IS - 2
ER -