Numerical Inversion of Laplace Transforms by Relating Them to the Finite Fourier Cosine Transform

1968 ◽  
Vol 15 (1) ◽  
pp. 115-123 ◽  
Author(s):  
H. Dubner ◽  
J. Abate
Keyword(s):  
Laplace Transforms ◽  
Numerical Inversion ◽  
Cosine Transform ◽  
Fourier Cosine ◽  
Fourier Cosine Transform

scholarly journals A Computational Method for n-Dimensional Laplace Transforms Involved with Fourier Cosine Transform

2013 ◽  
Vol 2013 ◽  
pp. 1-4
Author(s):  
Jafar Saberi-Nadjafi
Keyword(s):  
Laplace Transform ◽  
Laplace Transforms ◽  
Computational Method ◽  
Cosine Transform ◽  
Fourier Cosine ◽  
Sine Transform ◽  
Fourier Sine ◽  
Fourier Sine Transform ◽  
Fourier Cosine Transform

In 2007, the author published some results on n-dimensional Laplace transform involved with the Fourier sine transform. In this paper, we propose some new result in n-dimensional Laplace transforms involved with Fourier cosine transform; these results provide few algorithms for evaluating some n-dimensional Laplace transform pairs. In addition, some examples are also presented, which explain the useful applications of the obtained results. Therefore, one can produce some two- and three- as well as n-dimensional Laplace transforms pairs.

FOURIER SINE AND COSINE TRANSFORMS ON BOEHMIAN SPACES

2013 ◽  
Vol 06 (01) ◽  
pp. 1350005 ◽  
Author(s):  
R. Roopkumar ◽  
E. R. Negrin ◽  
C. Ganesan
Keyword(s):  
Fourier Transform ◽  
Cosine Transform ◽  
Fourier Cosine ◽  
Sine Transform ◽  
Fourier Sine ◽  
Fourier Sine Transform ◽  
Fourier Cosine Transform ◽  
One To One ◽  
The Fourier Transform

We construct suitable Boehmian spaces which are properly larger than [Formula: see text] and we extend the Fourier sine transform and the Fourier cosine transform more than one way. We prove that the extended Fourier sine and cosine transforms have expected properties like linear, continuous, one-to-one and onto from one Boehmian space onto another Boehmian space. We also establish that the well known connection among the Fourier transform, Fourier sine transform and Fourier cosine transform in the context of Boehmians. Finally, we compare the relations among the different Boehmian spaces discussed in this paper.

scholarly journals On a property of the Fourier-cosine transform

1988 ◽  
Vol 1 (3) ◽  
pp. 307-310 ◽  
Author(s):  
C.A.M. van Berkel ◽  
J. de Graaf
Keyword(s):  
Cosine Transform ◽  
Fourier Cosine ◽  
Fourier Cosine Transform

Photonic approach for microwave spectral analysis based on Fourier cosine transform

2011 ◽  
Vol 36 (19) ◽  
pp. 3897 ◽  
Author(s):  
Yun Wang ◽  
Hao Chi ◽  
Xianmin Zhang ◽  
Shilie Zheng ◽  
Xiaofeng Jin
Keyword(s):  
Spectral Analysis ◽  
Cosine Transform ◽  
Fourier Cosine ◽  
Fourier Cosine Transform

scholarly journals On a dual integral equation with a trigonometric kernel

1977 ◽  
Vol 18 (2) ◽  
pp. 175-177 ◽  
Author(s):  
D. C. Stocks
Keyword(s):  
Integral Equation ◽  
Elasticity Theory ◽  
Integral Equations ◽  
Crack Problem ◽  
Dual Integral Equation ◽  
Dual Integral Equations ◽  
Cosine Transform ◽  
Fourier Cosine ◽  
Fourier Cosine Transform ◽  
Image Position

In this note we formally solve the following dual integral equations:where h is a constant and the Fourier cosine transform of u–1 φ(u) is assumed to exist. These dual equations arise in a crack problem in elasticity theory.

Solution of the Doppler broadening function based on the fourier cosine transform

2008 ◽  
Vol 35 (10) ◽  
pp. 1878-1881 ◽  
Author(s):  
Alessandro da C. Gonçalves ◽  
Aquilino S. Martinez ◽  
Fernando C. da Silva
Keyword(s):  
Doppler Broadening ◽  
Cosine Transform ◽  
Fourier Cosine ◽  
Fourier Cosine Transform
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