Functional approximation for inversion of Laplace transforms via polynomial series
β Scribed by RAZZAGHI, MOHSEN; RAZZAGHI, MEHDI
- Book ID
- 121206861
- Publisher
- Taylor and Francis Group
- Year
- 1989
- Tongue
- English
- Weight
- 148 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0020-7721
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π SIMILAR VOLUMES
Most methods for the numerical calculation of inverse Laplace transformations f(t) = L -1 [F(s)] have serious limitations concerning the class of functions F(s) that can be inverted or the achievable accuracy. The procedures described in the paper can be used to invert rational as well as irrational
Given a monotone function v = f (u) over u β [0, 1], we propose a simple method for generating a polynomial approximation to the inverse u = f -1 (v). This novel method is based on employing s-power series, the two-point analogue of Taylor expansions. Truncating at the kth term the s-power expansion