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Question: Accurate numerical scheme for the inverse Laplace transform using Maple

Question:Accurate numerical scheme for the inverse Laplace transform using Maple

Heinrich 95 Maple
integration numeric laplace-transform
August 21 2018
0

Hello Everybody,

For a numerical evaluation of the inverse Laplace transform, the Gaver-Stehfest Method generally works well for quite many usual functions. However, the function of interest stated below, which results from solving a mathematical physical problem, seems to pose severe problems using this algorithm. Ths solution is found to be strongly oscillating and non converging.

>> I was wondering whether someone here could try to help a bit to invert numerically the following complicated function.

Thank you

Fede

 

1/(s^2*(1+(1-1/(2+2*s))/s)*(1+tan((1/2)*Pi/sqrt((1-1/(2+2*s))/s))/sqrt((1-1/(2+2*s))/s)))
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