The numerical inversion of the Laplace transform in reproducing kernel Hilbert spaces for ill-posed problems |
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Authors: | M Iqbal |
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Institution: | 1. Schmalkalden University of Applied Sciences , Schmalkalden, Germany kschmidt@fh-sm.de |
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Abstract: | 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. |
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Keywords: | Computer Algebra System Moore–Penrose inverse system of linear equations |
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