Applications of Laplace transforms and their inverses

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...

The Kontorovich – Lebedev Integral Transforms and Their Inverses ∗

The numerical evaluation of the transforms in the title, and their inverses, is considered, using a variety of decomposition, truncation, and quadrature methods. Extensive numerical testing is provided and an application given to the numerical evaluation of the kernel of a Fredholm integral equation of interest in mixed boundary value problems on wedge-shaped domains. AMS subject classification...

The h-Laplace and q-Laplace transforms

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

Z - Transforms , Their Inverses Transfer or System Functions

A. Table of contents by sections: 1. Abstract (you’re reading this now) 2. Forward Z-Transforms: How do I compute z-transforms? 3. Inverse Z-Transforms: How do I “undo” a z-transform? 4. Transfer (System) Functions: What are they for? 5. Poles and Zeros: Transient and Frequency Responses 6. The Atlanta Airport: (Has he completely lost his mind?) 7. Half-Dozen Examples: This stuff is actually ve...

A note on the comparison between Laplace and Sumudu transforms