Deconvolution and regularization for numerical solutions of incorrectly posed problems

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. thod 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.