Sumudu Transform - Formal Definition

Formal Definition

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.

Read more about this topic:  Sumudu Transform

Famous quotes containing the words formal and/or definition:

    “On every formal visit a child ought to be of the party, by way of provision for discourse.”
    —Jane Austen (1775–1817)

    “Mothers often are too easily intimidated by their children’s negative reactions...When the child cries or is unhappy, the mother reads this as meaning that she is a failure. This is why it is so important for a mother to know...that the process of growing up involves by definition things that her child is not going to like. Her job is not to create a bed of roses, but to help him learn how to pick his way through the thorns.”
    —Elaine Heffner (20th century)