Sumudu Transform

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the Sumudu transform, is an integral transform similar to the Laplace transform, introduced in the early 1990s by Gamage K. Watugala to solve differential equations and control engineering problems. It is equivalent to the Laplace Carson transform with the substitution p = 1/u. Sumudu is a Sinhala word, meaning smooth . The Sumudu transform of a function f(t), defined for all real numbers t 0, is the function Fs(u), defined by: S{f(t)} = F_s(u) = int_0^infty (1/u)e^{-t/u}f(t),dt.qquad(1) Watugala first advocated the transform as an alternative to the standard Laplace transform, and gave it the name Sumudu transform. It was early adopted by Weerakoon, and later by others.