A Computational Method for n -Dimensional Laplace Transforms Involved with Fourier Cosine Transform
Author(s) -
Jafar SaberiNadjafi
Publication year - 2013
Publication title -
isrn applied mathematics
Language(s) - English
Resource type - Journals
eISSN - 2090-5572
pISSN - 2090-5564
DOI - 10.1155/2013/748417
Subject(s) - laplace transform , fourier transform , sine and cosine transforms , algorithm , mathematics , two sided laplace transform , inverse laplace transform , mathematical analysis , fractional fourier transform , fourier analysis
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.
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