Introductory Laplace Transform with Applications

Download or read book Introductory Laplace Transform with Applications written by Dalpatadu and published by Trafford Publishing. This book was released on 2015-07-17 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the first applications of the modern Laplace transform was by Bateman in 1910 who used it to transform Rutherfords equations in his work on radioactive decay. The modeling of complex engineering and physical problems by linear differential equations has made the Laplace transform an indispensable mathematical tool for engineers and scientists. The method of Laplace transform for solving linear differential equations is very popular in the disciplines of electrical engineering, environmental engineering, hydrology, and petroleum engineering. This book presents some applications of Laplace transforms in these disciplines. Algorithms for the numerical inversion of Laplace transform are given, and a computer program in R for the Stehfest algorithm is included.