Sumudu transform – a new integral transform to solve differential equations and control engineering problems. (English) Zbl 0916.44002

Watugala, G. K.

Math. Eng. Ind. 6, No. 4, 319-329 (1998).

The author introduces an integral transform which, although closely related to the Laplace transform, possesses properties which are claimed to make the transformation process easier to visualize. A number of results are obtained. For example, differentiation and integration of a function \(f(t)\) in the \(t\)-domain are shown to correspond to division and multiplication of the transformed function \(F(u)\) by \(u\) in the \(u\)-domain. Also scaling of \(f(t)\) in the \(t\)-domain is equivalent to scaling of \(F(u)\) by the same scale factor. Applications to differential and integral equations and to a control engineering problem are considered.

Reviewer: W.Lamb (Glasgow)

MSC:

44A10	Laplace transform
34A25	Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
45A05	Linear integral equations

Keywords:

Sumudu transform; control engineering; Laplace transform; differentiation; integration; scaling; differential and integral equations