Author(s)

Fethi Bin Muhammad Belgacem, Rathinavel Silambarasan

Department of Mathematics, Faculty of Basic Education, PAAET, Shaamyia, Kuwait.
M. S. Software Engg, SITE, V. I. T. University, Vellore, India.

In this paper, the Laplace transform definition is implemented without resorting to Adomian decomposition nor Homotopy perturbation methods. We show that the said transform can be simply calculated by differentiation of the original function. Various analytic consequent results are given. The simplicity and efficacy of the method are illustrated through many examples with shown Maple graphs, and transform tables are provided. Finally, a new infinite series representation related to Laplace transforms of trigonometric functions is proposed.

Laplace Transform; Natural Transform; Sumudu Transform

F. Belgacem and R. Silambarasan, "Laplace Transform Analytical Restructure," Applied Mathematics, Vol. 4 No. 6, 2013, pp. 919-932. doi: 10.4236/am.2013.46128.