A note on integral transforms and partial differential equations. (English) Zbl 1194.35017

Kılıçman, Adem; Eltayeb, Hassan

Appl. Math. Sci., Ruse 4, No. 1-4, 109-118 (2010).

Summary: We apply double integral transforms to solve partial differential equation namely double Laplace and Sumudu transforms, in particular the wave and Poisson’s equations were solved by double Sumudu transform and the same result can be obtained by double Laplace transform.

MSC:

35A22	Transform methods (e.g., integral transforms) applied to PDEs
35J05	Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35L05	Wave equation
44A35	Convolution as an integral transform

Keywords:

Laplace transform; Sumudu transform; convolution