Numerical Inversion of Laplace Transforms -- from Wolfram Library Archive

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Title

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

Downloads

Fourier.nb (110.3 KB) - Mathematica Notebook [for Mathematica 5.2]

Zakian.nb (56.7 KB) - Mathematica Notebook [for Mathematica 5.2]

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