An Improved Algorithm for the Numerical Filtering Algorithm of Inverse Laplace Transforms

By reconstructing an attenuation function of the original function, modifying the convergent factor, and analyzing the characteristics of convergence factors changes, the numerical filtering algorithm of the inverse Laplace is improved, obtaining the improved algorithm for the numerical filtering algorithm of inverse Laplace transform, which makes the scope of application with the original algorithm clearer. By comparing kinds of different examples, the improved fast sine transform has a wider convergent time range and higher precision when solving with oscillation.