New Algorithms for the Computation of Inverse Transforms

The Laplace Transform has been widely used for about two centuries in problem solving in mathematics, engineering and sciences. The Sumudu Transform is very recent, it is as powerful as the Laplace Transform and has many nice features. Traditionally, when these transforms are used, the calculations of the inverse transforms are necessary; unfortunately, the calculations of Inverse Laplace Transform and Inverse Sumudu Transform are problematic and challenging. The authors studied Sumudu Transform in the computational approaches. We shall introduce a few novel algorithms on the computations of Inverse Sumudu Transform and Inverse Laplace Transform in this paper. The algorithms introduced here are straightforward to understand and powerful for problem solving, and some demo versions were implemented in the Maple Computer Algebra Systems. Type: Full / Regular Research Paper for CSCI-RTCS