Deconvolution and regularization for numerical solutions of incorrectly posed problems

Authors:
M. Iqbal
Affiliations:
Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Venue:
Journal of Computational and Applied Mathematics
Year:
2003

Citing 3
Cited 1

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Applied Numerical Mathematics
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Application of high order numerical quadratures to numerical inversion of the Laplace transform

Advances in Computational Mathematics

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Abstract

In this paper, we have converted the Laplace transform into Fredholm integral equation of the first kind of convolution type, which is an ill-posed problem and used deconvolution and regularization method to solve it. The method is applied to various test examples taken from the literature.The method gives a good approximation to the true solution. Our results confirm that our method is competitive with other recently presented methods. The results are shown in the table and the diagrams.