Revisiting the 1D and 2D Laplace Transforms

A note on the comparison between Laplace and Sumudu transforms

The h-Laplace and q-Laplace transforms

Article history: Received 12 May 2009 Available online 6 October 2009 Submitted by B.S. Thomson

Laplace Transforms and Its Applications

Laplace transform is a very powerful mathematical tool applied in various areas of engineering and science. With the increasing complexity of engineering problems, Laplace transforms help in solving complex problems with a very simple approach just like the applications of transfer functions to solve ordinary differential equations. This paper will discuss the applications of Laplace transforms...

Laplace Transforms and the American Straddle

together with appropriate boundary conditions, where S is the price of the underlying security and t < T is the time, with T being the expiry time. The parameters in the above equation are the risk-free rate, r, the dividend yield, D0, and the volatility, σ; all of them are assumed constant. In addition, we assume that r > D0 > 0. If an option is European, it can only be exercised at the expira...

Simulation of multiconductor transmission line circuits combining 1D and 2D Laplace transformations

The paper presents an innovative way of a simulation of multiconductor transmission line (MTL) circuits which combines the Laplace transformations in one and in two variables. This approach enables to compute both nodal voltages (branch currents) in lumped-element parts of a circuit and voltage (current) waves distributions along MTLs’ wires effectively. The first one is performed by the numeri...