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Numerical Inversion of Laplace Transforms
Author

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
Revision date

2006-10-19
Description

The inversion of Laplace transforms is performed using two methods: (1) the Zakian method and (2) the Fourier series approximation. Results are in agreement with analytical solutions obtained using the built-in function of Mathematica: InverseLaplaceTransform. The Zakian method presents problems for transcendental functions. The Fourier series gives better results when dealing with oscillating functions.
Subjects

*Applied Mathematics
*Applied Mathematics > Numerical Methods
*Engineering > Chemical Engineering
*Science > Chemistry
Keywords

Numerical inversion of Laplace transforms, InverseLaplaceTransform, Zakian method, Fourier series approximation
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Fourier.nb (110.3 KB) - Mathematica Notebook [for Mathematica 5.2]
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Zakian.nb (56.7 KB) - Mathematica Notebook [for Mathematica 5.2]