The numerical inversion of the Laplace transform in reproducing kernel Hilbert spaces for ill-posed problems

In this paper we have converted the Laplace transform into an integral equation of the first kind of convolution type, which is an ill-posed problem, and used a statistical regularization method to solve it. The method is applied to three examples. It gives a good approximation to the true solution...

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Veröffentlicht in:International journal of mathematical education in science and technology Jg. 33; H. 4; S. 557 - 564
1. Verfasser: Iqbal, M.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Taylor & Francis Group 01.07.2002
Taylor & Francis, Ltd
Schlagworte:
Algebra
Applied Linguistics
Computation
Equations (Mathematics)
Mathematical Formulas
Mathematics
Trigonometry
ISSN:0020-739X, 1464-5211
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Zusammenfassung:In this paper we have converted the Laplace transform into an integral equation of the first kind of convolution type, which is an ill-posed problem, and used a statistical regularization method to solve it. The method is applied to three examples. It gives a good approximation to the true solution and compares well with the method given by Rodriguez.
ISSN:0020-739X
1464-5211
DOI:10.1080/00207390210131344