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On comparison of spline regularization with exponential sampling method for Laplace transform inversion

โœ Scribed by M. Iqbal

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
389 KB
Volume
88
Category
Article
ISSN
0010-4655

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โœฆ Synopsis

In this paper we have converted the Laplace transform to an integral equation of the first kind of convolution type, which is an ill-posed problem and used the spline regularization method to solve it. The method is applied to several test examples taken from [J. Math. Comp. 53 (1989) 589; Inverse Problems 10 (1994) 55; J. Sci. Stat. Comp. 4 (1983) 164]. It gives a good approximation to the true solution and compares well with the exponential sampling method given in [Inverse Problems 7 (1991) 1; 7 (1991) 21; 10 (1994) 55]. The results are shown in the table and respective diagrams.

๐Ÿ“œ SIMILAR VOLUMES

On spline regularized inversion of noisy
On spline regularized inversion of noisy Laplace transforms
โœ M Iqbal ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 511 KB

In this paper we have converted the Laplace transform to an integral equation of the first kind of convolution type, which is an ill-posed problem and used the spline regularization method to solve it. Inversion of perturbed Laplace transforms also plays an important role in system theory. The metho